The talk Rotating compressible fluids under strong stratification, by Yong Lu, will be held on Monday March 24, 2014 at 8:30 in room K4. After that, Marek Čapek will talk about his recent work with a presentation entitled A non-newtonian rheological model of blood. Finally, PhD students from group C (Jan Blechta, Vojtěch Kulvait, Petr Sýkora and Helena Švihlová) will do a short progress report of the actual status of their research.
Abstract of the talk
We consider the Navier-Stokes system written in the rotational frame describing the motion of a compressible viscous fluid under strong stratification. The asymptotic limit for low Mach and Rossby numbers and large Reynolds number is studied on condition that the Froude number
characterizing the degree of stratification is proportional to the Mach number. We show that, at least for the well prepared data, the limit system is the same as for the problem without stratification - a variant of the incompressible planar Euler system.
Abstract of the PhD presentation
In the presentation I will try to motivate the need for appropriate rheological model by demands of blood coagulation process modeling. I will shortly review rheological properties of blood. After that I will present shortly possible mathematical models of blood flow. The microstructure based model of Owens will be discussed, possible enhancements will be mentioned.
R. G. Owens, A new microstructure-based constitutive model for human blood. J.Non-Newtonian Fluid Mech., 140 (2006) 57-70