Second law of thermodynamics and bounded entropy solutions in the compressible Navier-Stokes system

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• Xin Liu (Weierstraß-Institut für Angewandte Analysis und Stochastik)
• Monday 25 April 2022, 14:00-15:00
• CMS, MR13.

If you have a question about this talk, please contact Daniel Boutros.

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.

This talk is part of the Partial Differential Equations seminar series.

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