Talks.cam

Second law of thermodynamics and bounded entropy solutions in the compressible Navier-Stokes system - Xin Liu (Weierstraß-Institut für Angewandte Analysis und Stochastik)
2022-04-25 13:00 - 14:00 UTC | CMS, MR13
In this talk, I will explain the issue of solutions with bounded entropy for the compressible Navier-Stokes equations. In particular, near the gas-vacuum interface, the entropy production rate is highly singular. This is related to the second law of thermodynamics. I will discuss
1. the existence of equilibrium with bounded entropy to radiation gaseous star problem,
2. a class of self-similar solutions to the compressible Navier-Stokes equations without heat conductivity and shear viscosity, and
3. non-existence of entropy bounded solutions to the compressible Navier-Stokes equations without the degeneracy assumption in point 2.
