Multiple scales in the dynamics of compressible fluids

Mon, 06/05
17:00
Eduard Feireisl (institute of mathematics of the Academy of sciences of the Czech Republic) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
We discuss several singular limits for a scaled system of equations (barotropic Navier-Stokes system), where the characteristic numbers become small or “infinite”. In particular, we focus on the situations relevant in certain geophysical models with low Mach, large Rossby and large Reynolds numbers. The limit system is rigorously identified in the framework of weak solutions. The relative entropy inequality and careful analysis of certain oscillatory integrals play crucial role.