Recent publications
2018
Article [MORE/2017/06] and : On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions, Nonlinear Analysis: Real World Applications, Vol. 41, pp. 152--178, 2018. [DOI:10.1016/j.nonrwa.2017.10.008] |
[Published] [bibtex] [ris] |
Article [MORE/2016/29] and : Gradient dynamics and entropy production maximization, Journal of Non-Equilibrium Thermodynamics, Vol. 43, No. 1, pp. 1–19, 2018. [DOI:10.1515/jnet-2017-0005] |
[Published] [bibtex] [ris] |
Article [MORE/2016/22] and : Existence and smoothness for a class of $n$D models in elasticity theory of small deformations, ZAMP, Vol. 69, pp. 20, 2018. [DOI:10.1007/s00033-018-0917-x] |
[Published] [bibtex] [ris] |
2017
Article [MORE/2017/18] and : Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes, JDE, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/17] and : Compressible fluids interacting with a linear-elastic shell, Archive for Rational Mechanics and Analysis, 2017. |
[Accepted] [bibtex] [ris] |
Article [MORE/2017/16] and : Potential estimates for the p-Laplace system with data in divergence form, JDE, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/15] ; ; and : PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion, Contemporary Mathematics, American Mathematical Society, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/14] ; ; and : Thermodynamics of viscoelastic rate-type fluids with stress diffusion, Physics of Fluids, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/13] ; and : Regularity and approximation of strong solutions to rate-independent systems, M3AS Mathematical Models and Methods in the Applied Sciences, 2017. [DOI:10.1142/S0218202517500518] |
[Accepted] [bibtex] [ris] |
Article [MORE/2017/12] and : Viscoelastic rate type fluids with temperature dependent material parameters – stability of the rest state, AIP Conf. Proc., Vol. 1843, pp. 020004, 2017. [DOI:10.1063/1.4982979] |
[Published] [bibtex] [ris] |
Article [MORE/2017/11] ; and : Numerical simulations of an incompressible piezoviscous fluid flowing in a plane slider bearing, Meccanica, 2017. [DOI:10.1007/s11012-017-0731-0] |
[Published] [bibtex] [ris] |
Preprint [MORE/2017/10] and : Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/09] ; ; ; and : On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients, International Journal of Non-Linear Mechanics, Vol. 95, pp. 193–208, 2017. [DOI:10.1016/j.ijnonlinmec.2017.06.011] |
[Published] [bibtex] [ris] |
Article [MORE/2017/08] ; ; and : A novel view on computations of steady flows of Bingham fluids using implicit constitutive relations, Journal of Non-Newtonian Fluid Mechanics, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/07] ; and : LANCZOS ALGORITHM AND THE COMPLEX GAUSS QUADRATURE, SIAM Journal on Matrix Analysis and Applications (SIMAX), 2017. |
[Submitted] [bibtex] [ris] |
Preprint [MORE/2017/05] ; and : Modeling Gum Metal and other newly developed titanium alloys within a new class of constitutive relations for elastic bodiestic bodies, 2017. |
[Submitted] [bibtex] [ris] |
Preprint [MORE/2017/04] and : Stationary solutions to the compressible Navier-Stokes system with general boundary conditions, 2017. |
[Submitted] [bibtex] [ris] |
Preprint [MORE/2017/03] ; and : Stress-diffusive regularizations of non-dissipative rate-type materials, 2017. |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/02] and : Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics, Continuum Mechanics and Thermodynamics, 2017. [URL:https://arxiv.org/abs/1701.060...] |
[Submitted] [bibtex] [ris] |
Article [MORE/2017/01] ; and : Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots, Zeitschrift für angewandte Mathematik und Physik, Vol. 68, No. 24, 2017. [DOI:10.1007/s00033-017-0768-x] |
[Published] [bibtex] [ris] |
Article [MORE/2016/31] ; and : An adaptive multilevel factorized sparse approximate inverse preconditioning, Advances in Engineering Software, Vol. 113, pp. 19-24, 2017. [DOI:10.1016/j.advengsoft.2016.10.005] |
[Published] [bibtex] [ris] |
Article [MORE/2016/28] and : Higher order asymptotic analysis of the nonlinear Klein-Gordon equation in the non-relativistic limit regime, Asymptotic Analysis, Vol. 102, No. 3-4, pp. 157-175, 2017. [DOI:10.3233/ASY-171414] |
[Published] [bibtex] [ris] |
Article [MORE/2016/27] ; and : Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model, Communications in Mathematical Sciences, Vol. 15, No. 5, pp. 1265-1323, 2017. [DOI:10.4310/CMS.2017.v15.n5.a5] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/20] ; ; and : Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form, 2017. [DOI:10.1515/acv-2016-0054] |
[Accepted] [bibtex] [ris] |
Article [MORE/2016/17] ; and : Globally Lipschitz minimizers for variational problems with linear growth, ESAIM: COCV, 2017. [DOI:10.1051/cocv/2017065] |
[Accepted] [bibtex] [ris] |
Article [MORE/2016/15] ; and : On unified theory for scalar conservation laws with fluxes and sources being discontinuous with respect to the unknown, Journal of Differential Equations, Vol. 262, No. 1, pp. 313--364, 2017. [DOI:10.1016/j.jde.2016.09.020] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/14] and : On a residual-based a posteriori error estimator for the total error, 2017. |
[Published] [bibtex] [ris] |
Article [MORE/2016/12] ; and : Estimating and localizing the algebraic and total numerical errors using flux reconstructions, Numerische Mathematik, pp. 1-41, 2017. [DOI:10.1007/s00211-017-0915-5] |
[Published] [bibtex] [ris] |
Article [MORE/2016/11] ; and : Thermistor systems of p(x)-Laplace-type with discontinuous exponents via entropy solutions, Discrete and Continuous Dynamical Systems - Series S, Vol. 10, No. 4, pp. 697--713, 2017. [DOI:10.3934/dcdss.2017035] |
[Published] [bibtex] [ris] |
Article [MORE/2016/09] : Block and multilevel preconditioning for stochastic Galerkin problems with lognormally distributed parameters and tensor product polynomials, International Journal of Uncertainty Quantification, Vol. 7, No. 5, pp. 441-462, 2017. [DOI:10.1615/Int.J.UncertaintyQuantification.2017020377] |
[Published] [bibtex] [ris] |
Article [MORE/2016/03] ; and : The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system, ESAIM: Control, Optimisation and Calculus of Variations, Vol. 23, No. 3, pp. 851-868, 2017. [DOI:10.1051/cocv/2016016] |
[Published] [bibtex] [ris] |
Article [MORE/2016/01] ; ; and : On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth, Archive for Rational Mechanics and Analysis, Vol. 225, No. 2, pp. 717--769, 2017. [DOI:10.1007/s00205-017-1113-4] |
[Published] [bibtex] [ris] |
Article [MORE/2015/22] and : Internal flows of incompressible fluids subject to stick-slip boundary conditions, Vietnam Journal of Mathematics, Vol. 45, pp. 2017--220, 2017. [DOI:10.1007/s10013-016-0221-z] |
[Published] [bibtex] [ris] |
Article [MORE/2015/18] ; and : Analysis of an augmented mixed-FEM for the Navier-Stokes problem, Mathematics of Computation, Vol. 86, No. 304, pp. 589–615, 2017. [DOI:10.1090/mcom/3124] |
[Published] [bibtex] [ris] |
Article [MORE/2015/06] ; and : Gauss quadrature for quasidefinite linear functionals, IMA J. Numer. Anal., Vol. 37, pp. 1468-1495, 2017. |
[Published] [bibtex] [ris] |
: Efficient Implementation of High-Order Discontinuous Galerkin methods [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: On the Dirichlet vs Neumann problem related to convex, variationl integrals of linear growth [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: On the existence of integrable solutions to nonlinear eliptic systems and variational problems with linear growth [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Boundary Values of Functions with Bounded Deviatoric Variation [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Measure-valued solutions to compressibble Euler system [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Analysis of cross-diffusion systems arising in nonequilibrium thermodynamics [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: On the states of stress and strain adjacent to a crack in a strain limiting viscoelastic body [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Piecing together the mosaic Remarks on the mathematics of Zdeněk Strakoš [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model [URL:https://slideslive.com//389018...] | [bibtex] [ris] |
: Viscoelastic rate type fluids with stress diffusion: thermodynamic and PDE analysis [URL:https://slideslive.com//389018...] | [bibtex] [ris] |
: Energy based modeling and model order reduction [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: An optimal Q-OR Krylov subspace method for solving linear systems [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Random talks with a busy guy on permanent vacation [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Algebraic error and a posteriori error estimation in numerical PDEs [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Stead equations describing flow of chemically reacting heat conducting compressible mixtures [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Gauss quadrature and Lanczos algorithm [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Non-standard damped oscillators [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: On the response of physical systems governed by nonlinear ordinary differential equations to step input [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Diffuse interface models and their application in float forming [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Modelling and simulation of mechano-chemical pattern formation processes [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Entropic solutions arising in complex fluids dynamics and damage phenomena [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Supercomputing for Applications in the Material Sciences [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: On a thermodynamically consistent model for two-phase fluids [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: On compressible fluids interacting with an elastic shell [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Weak solutions of conservation laws and energy/entropy conservation [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Three-dimensional numerical simulations of viscoelastic models in real situations [URL:https://slideslive.com//389018...] | [bibtex] [ris] |
: Mixed sparse-dense linear least squares and preconditioned iterative methods [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high order discretizations of parabolic problems [URL:https://slideslive.com//389020...] | [bibtex] [ris] |
: Weak Solutions in Fluid Dynamics [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
: Non-standart FE analysis: local modifications [URL:https://slideslive.com//389019...] | [bibtex] [ris] |
2016
Article [NCMM/2016/09] and : Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations, SIAM Journal on Scientific Computing, Vol. 38, No. 6, pp. C603–C623, 2016. [DOI:10.1137/16M105890X] |
[Published] [bibtex] [ris] |
Preprint [NCMM/2016/08] ; ; ; and : On the numerical stability analysis of pipelined Krylov subspace methods, 2016. [URL:http://www.karlin.mff.cuni.cz/...] |
[Submitted] [bibtex] [ris] |
Article [NCMM/2016/02] ; and : Factorized approximate inverses with adaptive dropping, SIAM Journal on Scientific Computing, Vol. 38, No. 3, pp. A1807–A1820, 2016. [DOI:10.1137/15M1030315] |
[Published] [bibtex] [ris] |
Article [MORE/2016/40] ; and : A posteriori error analysis of an augmented mixed method for the Navier–Stokes equations with nonlinear viscosity, Computers & Mathematics with Applications, Vol. 72, No. 9, pp. 2289-2310, 2016. [DOI:10.1016/j.camwa.2016.08.032] |
[Published] [bibtex] [ris] |
Chapter [MORE/2016/39] and : Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids, in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing, 2016. [DOI:10.1007/978-3-319-10151-4_1-1] |
[Published] [bibtex] [ris] |
Article [MORE/2016/38] ; and : Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations, Applications of Mathematics, Vol. 61, No. 1, pp. 79--102, 2016. [DOI:10.1007/s10492-016-0123-0] |
[Published] [bibtex] [ris] |
Article [MORE/2016/37] ; and : On power-law fluids with the power-law index proportional to the pressure, Applied Mathematics Letters, Vol. 62, pp. 118--123, 2016. [DOI:10.1016/j.aml.2016.07.007] |
[Published] [bibtex] [ris] |
Article [MORE/2016/36] ; ; and : Effect of the tiger stripes on the deformation of Saturn's moon Enceladus, Geophysical Research Letters, Vol. 43, No. 14, pp. 7417--7423, 2016. [DOI:10.1002/2016gl069415] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/35] and : Weak convergence of the taut string estimator and its application to inverse problems with noise, 2016. |
[Submitted] [bibtex] [ris] |
Article [MORE/2016/34] and : Multidimensional thermoelasticity for nonsimple materials -- well-posedness and long-time behavior, Applicable Analysis, 2016. [URL:https://arxiv.org/abs/1605.020...] |
[Accepted] [bibtex] [ris] |
Article [MORE/2016/33] and : On a parabolic-hyperbolic filter for multicolor image noise reduction, Evolution Equations and Control Theory (EECT), Vol. 5, No. 2, pp. 251-272, 2016. [DOI:10.3934/eect.2016004] |
[Published] [bibtex] [ris] |
Article [MORE/2016/30] ; and : $hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems, SIAM Journal on Scientific Computing, Vol. 38, No. 5, pp. A3220–A3246, 2016. [DOI:10.1137/15M1026687] |
[Published] [bibtex] [ris] |
Article [MORE/2016/26] : On uniform estimates for Laplace equation in balls with small holes, Calculus of Variations and Partial Differential Equations, Vol. 55, No. 5, pp. 110, 2016. [DOI:10.1007/s00526-016-1055-y] |
[Published] [bibtex] [ris] |
Article [MORE/2016/25] and : Partially strong transparency conditions and a singular localization method In geometric optics, Archive for Rational Mechanics and Analysis, Vol. 222, No. 1, pp. 245–283, 2016. [DOI:10.1007/s00205-016-1000-4] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/24] ; and : Localization of the $W^{-1,q}$ norm for local a posteriori efficiency, 2016. [URL:https://hal.inria.fr/hal-01332...] |
[Submitted] [bibtex] [ris] |
Article [MORE/2016/23] ; and : On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models, International Journal of Advances in Engineering Sciences and Applied Mathematics, pp. 1-10, 2016. [DOI:10.1007/s12572-016-0171-4] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/21] and : A revision of results for standard models in elasto-perfect-plasticity theory, 2016. |
[Submitted] [bibtex] [ris] |
Preprint [MORE/2016/19] and : Large data analysis for Kolmogorov's two-equation model of turbulence, 2016. |
[Submitted] [bibtex] [ris] |
Article [MORE/2016/18] ; and : On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting, Physics of Fluids, Vol. 28, No. 10, pp. 103102, 2016. [DOI:10.1063/1.4964662] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/16] ; and : On homogenization of stationary flows of incompressible non-Newtonian fluids and the uniform continuity of the maximal function in the spaces with highly oscillating variable exponent, 2016. |
[Submitted] [bibtex] [ris] |
Article [MORE/2016/13] ; and : A unified theory for some non Newtonian fluids under singular forcing, SIAM J. Math. Anal, Vol. 48, No. 6, pp. 4241--4267, 2016. [DOI:10.1137/16M1073881] |
[Published] [bibtex] [ris] |
Article [MORE/2016/10] ; and : Euler–Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range, Archives of Mechanics, Vol. 68, No. 1, pp. 3-25, 2016. [URL:http://am.ippt.pan.pl/am/artic...] |
[Published] [bibtex] [ris] |
Article [MORE/2016/08] and : On the response of physical systems governed by non-linear ordinary differential equations to step input, International Journal of Non-Linear Mechanics, Vol. 81, pp. 207–221, 2016. [DOI:10.1016/j.ijnonlinmec.2015.10.013] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/07] ; and : Time regularity of non-Newtonian fluid with critial growth, 2016. |
[Submitted] [bibtex] [ris] |
Article [MORE/2016/06] and : Existence of very weak solutions to elliptic systems of p-Laplacian type, Calc. Var. Partial Differential Equations, Vol. 55, No. 3, pp. 55:52, 2016. [DOI:10.1007/s00526-016-0986-7] |
[Published] [bibtex] [ris] |
Article [MORE/2016/05] ; and : Dissipative weak solutions to compressible Navier–Stokes–Fokker–Planck systems with variable viscosity coefficients, Journal of Mathematical Analysis and Applications, Vol. 443, No. 1, pp. 322–351, 2016. [DOI:10.1016/j.jmaa.2016.05.030] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/04] : Uniform estimates for Stokes equations in domains with small holes and applications in homogenization problems, 2016. [URL:http://arxiv.org/abs/1510.0167...] |
[Submitted] [bibtex] [ris] |
Article [MORE/2016/02] ; and : Systems describing electrothermal effects with p(x)-Laplacian like structure for discontinuous variable exponents, SIAM J. Math. Anal.,, Vol. 48, No. 5, pp. 3496--3514, 2016. [DOI:10.1137/16M1062211] |
[Published] [bibtex] [ris] |
Article [MORE/2015/21] ; and : Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects, International Journal for Numerical Methods in Engineering (IJNME), Vol. 108, No. 6, pp. 535–567, 2016. [DOI:10.1002/nme.5221] |
[Published] [bibtex] [ris] |
Article [MORE/2015/20] ; and : A thermodynamically compatible model for describing asphalt binders: solutions of problems, International Journal of Pavement Engineering, Vol. 17, No. 6, pp. 550-564, 2016. [DOI:10.1080/10298436.2015.1007575] |
[Published] [bibtex] [ris] |
Article [MORE/2015/19] ; ; and : An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity, SIAM Journal on Numerical Analysis, Vol. 54, No. 2, pp. 1069–1092, 2016. [DOI:10.1137/15M1013146] |
[Published] [bibtex] [ris] |
Article [MORE/2015/17] ; and : On the influence of wavy riblets on the slip behaviour of viscous fluids, Zeitschrift für angewandte Mathematik und Physik (ZAMP), Vol. 67, No. 2, pp. 67:27, 2016. [DOI:10.1007/s00033-015-0614-y] |
[Published] [bibtex] [ris] |
Article [MORE/2015/10] and : Squeeze flow of a piezoviscous fluid, Applied Mathematics and Computation, Vol. 274, pp. 414–429, 2016. [DOI:10.1016/j.amc.2015.11.008] |
[Published] [bibtex] [ris] |
Article [MORE/2015/03] ; and : Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems, Anal. PDE, Vol. 9, No. 5, pp. 1115--1151, 2016. [DOI:10.2140/apde.2016.9.1115] |
[Published] [bibtex] [ris] |
Article [MORE/2015/02] ; ; and : Analysis of a viscosity model for concentrated polymers, Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 26, No. 8, pp. 1599–1648, 2016. [DOI:10.1142/S0218202516500391] |
[Published] [bibtex] [ris] |
Article [MORE/2015/01] : Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants, Computers & Mathematics with Applications, Vol. 71, No. 4, pp. 949--964, 2016. [DOI:10.1016/j.camwa.2016.01.006] |
[Published] [bibtex] [ris] |
Article [MORE/2014/18] ; and : On PDE analysis of flows of quasi-incompressible fluids, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 96, No. 4, pp. 491–508, 2016. [DOI:10.1002/zamm.201400229] |
[Published] [bibtex] [ris] |
Article [MORE/2014/07] ; and : A mixed finite element method for Darcy’s equations with pressure dependent porosity, Mathematics of Computation, Vol. 85, pp. 1--33, 2016. [DOI:10.1090/mcom/2980] |
[Published] [bibtex] [ris] |
Article [MORE/2014/02] : Convergence theory of exact interpolation scheme for computing several eigenvectors, Numerical Linear Algebra with Applications, Vol. 23, No. 2, pp. 373--390, 2016. [DOI:10.1002/nla.2029] |
[Published] [bibtex] [ris] |
Chapter [MORE/2013/06] and : On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary, in: Recent Developments of Mathematical Fluid Mechanics, pages 135--156, Birkhauser, 2016. [DOI:10.1007/978-3-0348-0939-9_8] |
[Published] [bibtex] [ris] |
2015
Article [NCMM/2015/02] ; and : Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem, SIAM Journal on Matrix Analysis and Applications, Vol. 36, No. 2, pp. 417-434, 2015. [DOI:10.1137/140968914] |
[Published] [bibtex] [ris] |
Article [NCMM/2013/35] and : Numerical methods for solving the Cahn-Hilliard equation and its applicability to related Energy-based models, Archives of Computational Methods in Engineering, Vol. 22, No. 2, pp. 269--289, 2015. [DOI:10.1007/s11831-014-9112-1] |
[Published] [bibtex] [ris] |
Article [NCMM/2013/25] ; and : Weighted integral techniques and C-alpha-estimates for a class of elliptic systems with p-growth, Annali di Matematica Pura ed Applicata, Vol. 194, No. 4, pp. 1025--1069, 2015. [DOI:10.1007/s10231-014-0410-x] |
[Published] [bibtex] [ris] |
Article [NCMM/2013/22] ; and : Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids, Journal of Scientific Computing, Vol. 64, No. 1, pp. 1–34, 2015. [DOI:10.1007/s10915-014-9921-2] |
[Published] [bibtex] [ris] |
Preprint [MORE/2016/32] and : Solving symmetric indefinite systems using memory efficient incomplete factorization preconditioners, 2015. [URL:http://www.karlin.mff.cuni.cz/...] |
[Submitted] [bibtex] [ris] |
Article [MORE/2015/16] ; ; ; and : Multicomponent model of deformation and detachment of a biofilm under fluid flow, Journal of the Royal Society Interface, Vol. 12, pp. 20150045, 2015. [DOI:10.1098/rsif.2015.0045] |
[Published] [bibtex] [ris] |
Article [MORE/2015/15] ; and : On a variant of the Maxwell and Oldroyd-B models within the context of a thermodynamic basis, International Journal of Non-Linear Mechanics, Vol. 76, pp. 42--47, 2015. [DOI:10.1016/j.ijnonlinmec.2015.03.009] |
[Published] [bibtex] [ris] |
Article [MORE/2015/14] ; ; ; ; ; ; ; ; and : The FEniCS Project Version 1.5, Archive of Numerical Software, Vol. 3, No. 100, 2015. [DOI:10.11588/ans.2015.100.20553] |
[Published] [bibtex] [ris] |
Article [MORE/2015/13] ; ; and : A 3 Ga old polythermal ice sheet in Isidis Planitia, Mars: dynamics and thermal regime inferred from numerical modeling, Earth and Planetary Science Letters, Vol. 426, pp. 176-190, 2015. [DOI:doi:10.1016/j.epsl.2015.06.038] |
[Published] [bibtex] [ris] |
Article [MORE/2015/12] ; ; ; ; and : Despinning and shape evolution of Saturn's moon Iapetus triggered by a giant impact, Icarus, Vol. 252, pp. 454-465, 2015. [DOI:10.1016/j.icarus.2015.02.010] |
[Published] [bibtex] [ris] |
Article [MORE/2015/11] ; ; and : Landform assemblage in Isidis Planitia, Mars: Evidence for a 3 Ga old polythermal ice sheet., Earth and Planetary Science Letters, Vol. 411, pp. 253-267, 2015. [DOI:10.1016/j.epsl.2014.12.002] |
[Published] [bibtex] [ris] |
Article [MORE/2015/09] ; ; and : Vibrations of a lumped parameter mass-spring-dashpot system wherein the spring is described by a non-invertible elongation-force constitutive function, International Journal of Non-Linear Mechanics, Vol. 76, pp. 154–163, 2015. [DOI:10.1016/j.ijnonlinmec.2015.06.009] |
[Published] [bibtex] [ris] |
Article [MORE/2015/08] and : Perspectives on using implicit type constitutive relations in the modelling of the behaviour of non-Newtonian fluids, AIP Conf. Proc., Vol. 1662, pp. 020003, 2015. [DOI:10.1063/1.4918873] |
[Published] [bibtex] [ris] |
Article [MORE/2015/07] and : Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities, Nonlinear Anal. Theory Methods Appl., Vol. 127, pp. 94--127, 2015. [DOI:10.1016/j.na.2015.07.001] |
[Published] [bibtex] [ris] |
Preprint [MORE/2015/05] : On existence theory for general nonlinear elliptic and parabolic equations with bad data, 2015. |
[Submitted] [bibtex] [ris] |
Article [MORE/2015/04] and : Homogenization of the stationary compressible Navier-Stokes equations in domains with tiny holes, Journal of Mathematical Fluid Mechanics, Vol. 17, No. 2, pp. 381–392, 2015. [DOI:10.1007/s00021-015-0200-2] |
[Published] [bibtex] [ris] |
Article [MORE/2014/19] ; and : Old and new results in regularity theory for diagonal elliptic systems via blow up techniques, J. Differential Equations, Vol. 259, No. 11, pp. 6528--6572, 2015. [DOI:10.1016/j.jde.2015.07.030] |
[Published] [bibtex] [ris] |
Article [MORE/2014/15] and : Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids, Journal of non-Newtonian Fluid Mechanics, Vol. 216, pp. 13–21, 2015. [DOI:10.1016/j.jnnfm.2014.12.006] |
[Published] [bibtex] [ris] |
Article [MORE/2014/13] ; and : Multi-phase modeling of non-isothermal reactive flow in fluidized bed reactors, Journal of Computational and Applied Mathematics, Vol. 289, pp. 282-295, 2015. [DOI:doi:10.1016/j.cam.2015.01.012] |
[Published] [bibtex] [ris] |
Article [MORE/2014/10] and : Approximation of Smectic-A liquid crystals, Computer Methods in Applied Mechanics and Engineering, Vol. 290, No. 15, pp. 342--361, 2015. [DOI:10.1016/j.cma.2015.03.015] |
[Published] [bibtex] [ris] |
Article [MORE/2014/09] ; and : On generalized Stokes' and Brinkman's equations with pressure- and shear-dependent viscosity and drag coefficient, Nonlinear Anal. Real World Appl., Vol. 26, pp. 109--132, 2015. [DOI:10.1016/j.nonrwa.2015.05.004] |
[Published] [bibtex] [ris] |
Article [MORE/2014/06] ; and : Band generalization of the Golub--Kahan bidiagonalization, generalized Jacobi matrices, and the core problem, SIAM Journal on Matrix Analysis and Applications, Vol. 36, No. 2, pp. 417–434, 2015. [DOI:10.1137/140968914] |
[Published] [bibtex] [ris] |
Article [MORE/2014/05] ; and : Global weak solutions to a class of non-Newtonian compressible ﬂuids, Math. Methods Appl. Sci., Vol. 38, No. 16, pp. 3482–3494, 2015. [DOI:10.1002/mma.3432] |
[Published] [bibtex] [ris] |
Article [MORE/2014/04] ; and : A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity, Journal of Mathematical Analysis and Applications, Vol. 424, No. 1, pp. 785-801, 2015. [DOI:10.1016/j.jmaa.2014.11.053] |
[Published] [bibtex] [ris] |
Article [MORE/2013/10] and : Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations, SIAM Journal on Numerical Analysis, Vol. 53, No. 2, pp. 1058–1081, 2015. [DOI:10.1137/130950100] |
[Published] [bibtex] [ris] |
Article [MORE/2013/07] ; and : A thermodynamically compatible model for describing the response of asphalt binders, International Journal of Pavement Engineering, Vol. 16, No. 4, pp. 297-314, 2015. [DOI:10.1080/10298436.2014.942860] |
[Published] [bibtex] [ris] |
Article [MORE/2013/05] ; and : Analysis and approximation of a strain-limiting nonlinear elastic model, Mathematics and Mechanics of Solids, Vol. 20, No. 1, pp. 92–118, 2015. [DOI:10.1177/1081286514543601] |
[Published] [bibtex] [ris] |
Article [MORE/2012/04] ; ; and : Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies, Calculus of Variations and PDE's, Vol. 54, No. 2, pp. 2115--2147, 2015. [DOI:10.1007/s00526-015-0859-5] |
[Published] [bibtex] [ris] |
: Verification and effectivity of PGD model reduction [URL:http://slideslive.com/38894772...] | [bibtex] [ris] |
: Reduced-order subscales for POD models in fluid mechanics [URL:http://slideslive.com/38894788...] | [bibtex] [ris] |
: Krylov subspace-based model order reduction of RCL circuit equations [URL:http://slideslive.com/38894773...] | [bibtex] [ris] |
: Approximated Lax pair for nonlinear evolution equations [URL:http://slideslive.com/38894789...] | [bibtex] [ris] |
: Structure-preserving interpolatory model reduction for linear and nonlinear dynamical systems [URL:http://slideslive.com/38894589...] | [bibtex] [ris] |
: Mathematical aspects of proper orthogonal decomposition (POD) II POD in PDE constrained optimization [URL:http://slideslive.com/38894583...] | [bibtex] [ris] |
Mathematical aspects of proper orthogonal decomposition (POD) I POD for time-dependent PDEs [URL:http://slideslive.com/38894774...] | :[bibtex] [ris] |
: Mathematical aspects of proper orthogonal decomposition (POD) III Towards parametric model order reduction for nonlinear PDE systems in networks [URL:http://slideslive.com/38894790...] | [bibtex] [ris] |
: Mixed formulations, numerical solutions and computations for viscous-plastic flows using implicit material relations [URL:http://slideslive.com/38894786...] | [bibtex] [ris] |
: Euler-Bernoulli type beam theory for elastic material [URL:http://slideslive.com/38894584...] | [bibtex] [ris] |
: Hierarchical concepts for model reduction for reacting flows based on low-dimensional manifolds [URL:http://slideslive.com/38894781...] | [bibtex] [ris] |
: Implicitly constituted materials: from modeling towards PDE-analysis [URL:http://slideslive.com/38894586...] | [bibtex] [ris] |
Book and : Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs, SIAM, SIAM Spotlight Series, 2015. [URL:http://bookstore.siam.org/sl01...] |
[Published] [bibtex] [ris] |
: Preservation of physical properties in model reduction methods [URL:http://slideslive.com/38894557...] | [bibtex] [ris] |
: Model reduction in real world and industrial applications [URL:http://slideslive.com/38894558...] | [bibtex] [ris] |
: Model reduction, a survey [URL:http://slideslive.com/38894556...] | [bibtex] [ris] |
: Modeling and simulation of float glass forming process [URL:http://slideslive.com/38894588...] | [bibtex] [ris] |
: The mechanics and mathematics of bodies described by implicit constitutive equations [URL:http://slideslive.com/38894587...] | [bibtex] [ris] |
: Modelling the flow of traffic [URL:http://slideslive.com/38894771...] | [bibtex] [ris] |
: Simulations of flows of fluids characterized by a non-monotone implicit constitutive relation [URL:http://slideslive.com/38894585...] | [bibtex] [ris] |
: A posteriori error estimates and adaptivity for Stokes flow with implicit constitutive laws [URL:http://slideslive.com/38894787...] | [bibtex] [ris] |
2014
Article [NCMM/2013/19] and : Existence Analysis For a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid, SIAM Journal on Mathematical Analysis, Vol. 46, No. 5, pp. 3223--3240, 2014. [DOI:10.1137/130927589] |
[Published] [bibtex] [ris] |
Article [NCMM/2013/04] ; ; and : On investigating GMRES convergence using unitary matrices, Linear Algebra and its Applications, Vol. 450, No. 1, pp. 83-107, 2014. [DOI:10.1016/j.laa.2014.02.044] |
[Published] [bibtex] [ris] |
Article [MORE/2014/20] and : Long time behavior of the quadratic Klein-Gordon equation in the nonrelativistic limit regime, Annales scientifiques de l'ENS, 2014. [URL:http://arxiv.org/abs/1412.7787] |
[Submitted] [bibtex] [ris] |
Article [MORE/2014/17] ; ; ; and : Ice melting and downward transport of meltwater by two-phase flow in Europa's ice shell, JGR-Planets, Vol. 119, No. 3, pp. 532-549, 2014. [DOI:10.1002/2013JE004563] |
[Published] [bibtex] [ris] |
Article [MORE/2014/16] ; ; and : On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures, Acta Mechanica, Vol. 225, No. 11, pp. 3157-3186, 2014. [DOI:10.1007/s00707-013-1038-4] |
[Published] [bibtex] [ris] |
Article [MORE/2014/14] ; and : Water transport in planetary ice layers - a parametric study, Geophys. Astro. Fluid., Vol. 108, No. 6, pp. 639-666, 2014. [DOI:10.1080/03091929.2014.969251] |
[Published] [bibtex] [ris] |
Preprint [MORE/2014/12] ; ; ; ; ; ; and : Convergence theory for the exact interpolation scheme with approximation vector used as the first column of the prolongator: the partial eigenvalue problem, 2014. |
[Submitted] [bibtex] [ris] |
Article [MORE/2014/11] and : Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models, Computers & Mathematics with Applications, Vol. 68, No. 8, pp. 821–846, 2014. [DOI:10.1016/j.camwa.2014.07.014] |
[Published] [bibtex] [ris] |
Article [MORE/2014/08] ; ; and : On elastic solids with limiting small strain: modelling and analysis, EMS Surveys in Mathematical Sciences, Vol. 1, No. 2, pp. 283–332, 2014. [DOI:10.4171/EMSS/7] |
[Published] [bibtex] [ris] |
Article [MORE/2014/03] and : The motion of a piezoviscous fluid under a surface load, International Journal of Non-Linear Mechanics, Vol. 60, No. 4, pp. 23-32, 2014. [DOI:10.1016/j.ijnonlinmec.2013.12.006] |
[Published] [bibtex] [ris] |
Article [MORE/2014/01] ; and : Flow of a Burgers fluid due to time varying loads on deforming boundaries, Journal of Non-Newtonian Fluid Mechanics, Vol. 210, pp. 66--77, 2014. [DOI:10.1016/j.jnnfm.2014.05.005] |
[Published] [bibtex] [ris] |
Article [MORE/2013/09] ; and : Rotating compressible fluids under strong stratification, Nonlinear Analysis: Real World Applications, Vol. 19, pp. 11–18, 2014. [DOI:10.1016/j.nonrwa.2014.02.004] |
[Published] [bibtex] [ris] |
Article [MORE/2013/08] ; and : Distribution of the discretization and algebraic error in numerical solution of partial differential equations, Linear Algebra and its Applications, Vol. 449, pp. 89–114, 2014. [DOI:10.1016/j.laa.2014.02.009] |
[Published] [bibtex] [ris] |
Article [MORE/2013/02] and : Multiple scales and singular limits for compressible rotating fluids with general initial data, Communications in Partial Differential Equations, Vol. 39, No. 6, pp. 1104–1127, 2014. [DOI:10.1080/03605302.2013.856917] |
[Published] [bibtex] [ris] |
Article [MORE/2013/01] and : Scale interactions in compressible rotating fluids, Annali di Matematica Pura ed Applicata, Vol. 193, No. 6, pp. 1703–1725, 2014. [DOI:10.1007/s10231-013-0353-7] |
[Published] [bibtex] [ris] |
Chapter [MORE/2012/08] : Relative entropies, dissipative solutions, and singular limits of complete fluid systems, in: Hyperbolic Problems: Theory, Numerics, Applications, pages 11--28, AIMS, Springfield, USA, 2014. |
[Published] [bibtex] [ris] |
Article [MORE/2012/07] and : Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations, Numerical Algoritms, Vol. 65, No. 4, pp. 759-782, 2014. [DOI:10.1007/s11075-013-9713-z] |
[Published] [bibtex] [ris] |
Article [MORE/2012/01] ; and : A regularity criterion for the weak solutions to the Navier–Stokes–Fourier system, Archive for Rational Mechanics and Analysis, Vol. 212, No. 1, pp. 219–239, 2014. [DOI:10.1007/s00205-013-0697-6] |
[Published] [bibtex] [ris] |
: Control of free boundary problems with surface tension effect [URL:http://slideslive.com/38892003] | [bibtex] [ris] |
: Analysis of strain-limiting models in solid mechanics [URL:http://slideslive.com/38891987] | [bibtex] [ris] |
: BLOOD CLOT MODELLING [URL:http://slideslive.com/38891948] | [bibtex] [ris] |
: Finite elements for electrorheological fluids [URL:http://slideslive.com/38891972] | [bibtex] [ris] |
: Modelling of the nonlocal and nonlinear material behavior of many-particle electrodes [URL:http://slideslive.com/38892007] | [bibtex] [ris] |
: Efficient solution of parameterized partial differential equations using reduced-order models [URL:http://slideslive.com/38891915] | [bibtex] [ris] |
: From Lagrangian mechanics to optimal control and PDE constraints [URL:http://slideslive.com/38891966] | [bibtex] [ris] |
: ON THE PROPERTIES OF KRYLOV SUBSPACES IN FINITE PRECISION CG COMPUTATIONS [URL:http://slideslive.com/38891950] | [bibtex] [ris] |
: Splitting in time schemes: from fluids to phase-field models [URL:http://slideslive.com/38891907] | [bibtex] [ris] |
: Regular Lagrangian flow and size-structure equations [URL:http://slideslive.com/38891906] | [bibtex] [ris] |
: Optimal control of static elastoplasticity in primal and dual formulations [URL:http://slideslive.com/38891983] | [bibtex] [ris] |
: On convergent series expansions of solutions of Navier’s equation near singular points [URL:http://slideslive.com/38891922] | [bibtex] [ris] |
: BEAM THEORY FOR IMPLICITLY CONSTITUTED ELASTIC MATERIAL [URL:http://slideslive.com/38891952] | [bibtex] [ris] |
: On asymptotic behavior of solutions to the compressible Navier-Stokes equation in a periodic layer [URL:http://slideslive.com/38891982] | [bibtex] [ris] |
: Homogenization of a non-Newtonian flow through a porous medium [URL:http://slideslive.com/38891985] | [bibtex] [ris] |
: Convergent numerical methods for the compressible Navier-Stokes equations [URL:http://slideslive.com/38891973] | [bibtex] [ris] |
: NUMERICAL COMPUTATIONS OF ANTI-PLANE STRESS STATE OF THE PLATE WITH STRAIN LIMITING RESPONSE IN THE V-SHAPED [URL:http://slideslive.com/38891953] | [bibtex] [ris] |
: Piezo-viscous fluids flows in lubrication [URL:http://slideslive.com/38891988] | [bibtex] [ris] |
: On PDE analysis for flows of quasi-incompressible fluids [URL:http://slideslive.com/38891913] | [bibtex] [ris] |
: The computation of bivariate orthogonal polynomials [URL:http://slideslive.com/38891951] | [bibtex] [ris] |
: Compressible Navier-Stokes equations with transport of entropy [URL:http://slideslive.com/38891989] | [bibtex] [ris] |
: PLASTIC DEFORMATION TREATED AS MATERIAL FLOW THROUGH ADJUSTABLE CRYSTAL LATTICE, MODELING ANALYSIS AND NUMERICS [URL:http://slideslive.com/38891955] | [bibtex] [ris] |
: Mixed least squares finite element methods based on inverse stress-strain relations in hyperelasticity [URL:http://slideslive.com/38891946] | [bibtex] [ris] |
: MODELLING OF REACTIVE MULTIPHASE FLOW AND HEAT TRANSFER IN FLUIDIZED BED REACTOR [URL:http://slideslive.com/38891956] | [bibtex] [ris] |
: Interpretation of the algebraic error and algebraic preconditioning as the transformation of the discretization basis [URL:http://slideslive.com/38891943] | [bibtex] [ris] |
: Complex Gauss quadratures [URL:http://slideslive.com/38891949] | [bibtex] [ris] |
: Heat conduction problem of an evaporating liquid wedge [URL:http://slideslive.com/38891917] | [bibtex] [ris] |
: Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids [URL:http://slideslive.com/38891942] | [bibtex] [ris] |
: On implicit constitutive theories [URL:http://slideslive.com/38891944] | [bibtex] [ris] |
: NUMERICAL ISSUES IN MATHEMATICAL MODELLING OF FLOAT GLASS PROCESS [URL:http://slideslive.com/38891957] | [bibtex] [ris] |
: Temporal discretization of Eulerian fluid-structure interactions [URL:http://slideslive.com/38891969] | [bibtex] [ris] |
: Homogenization and nonlinearity in deforming heterogeneous media [URL:http://slideslive.com/38891945] | [bibtex] [ris] |
: Pointwise estimates for energy solutions [URL:http://slideslive.com/38891924] | [bibtex] [ris] |
: Uncertainty Quantification: Does it need efficient linear algebra? [URL:http://slideslive.com/38891908] | [bibtex] [ris] |
: On the derivation of thermodynamically consistent boundary conditions for Korteweg type fluids [URL:http://slideslive.com/38891993] | [bibtex] [ris] |
: Accuracy of momentum balance and surface forces for finite element computations in elasticity [URL:http://slideslive.com/38891912] | [bibtex] [ris] |
: Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute [URL:http://slideslive.com/38891941] | [bibtex] [ris] |
: DETERMINATION OF ENERGY DISSIPATION AND PRESSURE DROP ACROSS CARDIAC STENOSES [URL:http://slideslive.com/38891958] | [bibtex] [ris] |
: Polymeric fluids [URL:http://slideslive.com/38891947] | [bibtex] [ris] |
: A mixed finite element method for Darcy’s equations with pressure dependent porosity [URL:http://slideslive.com/38891991] | [bibtex] [ris] |
: Thermodynamically compatible viscoelastic model suitable for modeling geomaterials [URL:http://slideslive.com/38891992] | [bibtex] [ris] |
: Ways to measure compactness [URL:http://slideslive.com/38891916] | [bibtex] [ris] |
: A simple proposal for parallel implicit time evolution [URL:http://slideslive.com/38891964] | [bibtex] [ris] |
: Adaptive spectral deferred correction methods for cardiac simulation [URL:http://slideslive.com/38891961] | [bibtex] [ris] |
: Renormalization defects for continuity equations [URL:http://slideslive.com/38891918] | [bibtex] [ris] |
: ON GENERALIZED STOKES’ AND BRINKMAN’S EQUATIONS WITH PRESSURE- AND SHEAR-DEPENDENT VISCOSITY AND DRAG [URL:http://slideslive.com/38891959] | [bibtex] [ris] |
2013
Article [MORE/2013/11] : Fourier Analysis of the Aggregation Based Algebraic Multigrid for Stochastic Matrices, SIAM. J. Matrix Anal. & Appl., Vol. 34, No. 4, pp. 1596–1610, 2013. [DOI:10.1137/130913821] |
[Published] [bibtex] [ris] |
Article [MORE/2013/04] and : On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck–Boussinesq type approximations, Mathematical Models and Methods in Applied Sciences, Vol. 23, No. 10, pp. 1761--1794, 2013. [DOI:10.1142/S0218202513500516] |
[Published] [bibtex] [ris] |
Article [MORE/2013/03] ; and : The Core Problem Within a Linear Approximation Problem Ax ≈ B With Multiple Right-Hand Sides, SIAM Journal on Matrix Analysis and Applications, Vol. 34, No. 3, pp. 917-931, 2013. [DOI:10.1137/120884237] |
[Published] [bibtex] [ris] |
Article [MORE/2012/06] ; ; and : Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems, GAMM Mitteilungen, Vol. 36, No. 1, pp. 102-129, 2013. [DOI:10.1002/gamm.201310006] |
[Published] [bibtex] [ris] |
Article [MORE/2012/03] : Scaling and singular limits in the equations of continuum ﬂuid mechanics, Methods and Applications of Analysis, Vol. 20, No. 2, pp. 115–140, 2013. [DOI:10.4310/MAA.2013.v20.n2.a2] |
[Published] [bibtex] [ris] |
Article [MORE/2012/02] : Mathematical analysis of fluids in motion: From well-posedness to model reduction, Revista Matemática Complutense, Vol. 26, No. 2, pp. 299–340, 2013. [DOI:10.1007/s13163-013-0126-2] |
[Published] [bibtex] [ris] |
Mathematical Analysis of Models Describing the Motion of Implicitly Constituted Materials | :[bibtex] [ris] |
Article ; and : Multi-dimensional scalar conservation laws with fluxes discontinuous in the unknown and the spatial variable, Mathematical Models and Methods in Applied Sciences, Vol. 23, No. 3, pp. 407--439, 2013. [DOI:10.1142/S0218202512500510] |
[Published] [bibtex] [ris] |
Article ; and : Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers, Communications in Partial Differential Equations, Vol. 58, No. 5, pp. 882--924, 2013. [DOI:10.1080/03605302.2012.742104] |
[Published] [bibtex] [ris] |
Article and : On Existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power--law index, JMAA, Vol. 402, No. 1, pp. 157--166, 2013. [DOI:10.1016/j.jmaa.2012.12.066] |
[Published] [bibtex] [ris] |
A new class of thermodynamically compatible viscoelastic models: Application and computational simulation | :[bibtex] [ris] |
On Kelvin-Voigt viscoelastic solid model with an implicit constitutive relation for the viscous part | :[bibtex] [ris] |
2012
Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a time-periodic parallel flow [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Regularity issues in systems describing flows of incompressible fluids [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Article ; ; and : On Unsteady Flows of Implicitly Constituted Incompressible Fluids, SIAM J. Math. Anal., Vol. 44, No. 4, pp. 2756--2801, 2012. [DOI:10.1137/110830289] |
[Published] [bibtex] [ris] |
Chapter ; ; ; and : On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph, in: Mathematical Aspects of Fluid Mechanics, pages 23--51, Cambridge University Press, 2012. [URL:http://www.cambridge.org/aus/c...] |
[Published] [bibtex] [ris] |
Article ; and : Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology, ArXiv e-prints, 2012. [URL:http://adsabs.harvard.edu/abs/...] |
[Published] [bibtex] [ris] |
Complete fluid systems, the state of art [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Model reduction in continuum thermodynamics: Modeling, analysis and computation | ; and :[bibtex] [ris] |
Multivalued equations motivated by granular flow model [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
An Integral Framework for Modeling in Continuum Thermodynamics [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Implicitly constituted materials: mixed formulations, numerical solutions and computations [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Non-Darcy Flows in the porous media for compressible fluids and application [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Incompressible limit of planar compressible ideal magnetohydrodynamic equations [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Steady Navier-Stokes-Fourier system with nonlinear dependence of viscosity on temperature [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Continuum Thermodynamics, complete and reduced systems [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Mathematical Analysis of a Steady Navier–Stokes–Boussinesq BVP in an Inclined Rectangular Cavity [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Navier-Stokes-Fourier system: dissipative solutions, relative entropies, inviscid and incompressible limits | :[bibtex] [ris] |
On steady compressible Navier–Stokes–Fourier system [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Article and : On implicit constitutive relations for materials with fading memory, Journal of Non-Newtonian Fluid Mechanics, Vol. 181–182, pp. 22-29, 2012. [DOI:10.1016/j.jnnfm.2012.06.004] |
[Published] [bibtex] [ris] |
Fast Iterative Solvers for Buoyancy Driven Flow Problems [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Modeling of two-phase flow in geophysics: compaction, differentiation, partial melting, and melt migration [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Book and : Krylov Subspace Methods Principles and Analysis, Oxford university press, Numerical Mathematics and Scientific Computation, 2012. [DOI:10.1093/acprof:oso/9780199655410.001.0001] |
[Published] [bibtex] [ris] |
Challenges in coupling iterative algebraic computations with modeling and discretisation PART I - Basic (mostly algebraic) settings | ; ; and :[bibtex] [ris] |
On the generalized Stokes equations in Orlicz spaces [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
Relative entropy applied to the stability of shocks for fluid mechanics [URL:http://www.birs.ca/events/2012...] | :[bibtex] [ris] |
2009
Book and : Singular Limits in Thermodynamics of Viscous Fluids, Birkhäuser Basel, Advances in Mathematical Fluid Mechanics, 2009. [DOI:10.1007/978-3-7643-8843-0] |
[Published] [bibtex] [ris] |