A workshop on Model reduction in continuum thermodynamics: Modeling, analysis and computation was held in Banff International Research Station for Mathematical Innovation and Discovery (Banff, Alberta, Canada).

Video recordings of the talks are available here.

**Final report:**

**List of presentations:**

BAsymptotic 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] FComplete 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] GMultivalued equations motivated by granular flow model [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] HAn 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] INon-Darcy Flows in the porous media for compressible fluids and application [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] JIncompressible limit of planar compressible ideal magnetohydrodynamic equations [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] KSteady Navier-Stokes-Fourier system with nonlinear dependence of viscosity on temperature [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] MContinuum Thermodynamics, complete and reduced systems [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] NWeak 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] POn steady compressible Navier–Stokes–Fourier system [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] RSFast 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] On the generalized Stokes equations in Orlicz spaces [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris] VRelative entropy applied to the stability of shocks for fluid mechanics [URL:http://www.birs.ca/events/2012...] :[bibtex] [ris]