Euler system with a polytropic equation of state as a vanishing viscosity limit

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• Simon Markfelder (University of Cambridge)
• Monday 28 February 2022, 14:00-15:00
• CMS, MR13.

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

We consider the Euler system of gas dynamics endowed with the incomplete (e-rho-p) equation of state relating the internal energy e to the mass density rho and the pressure p. We show that any sufficiently smooth solution can be recovered as a vanishing viscosity – heat conductivity limit of the Navier-Stokes-Fourier system with a properly defined temperature. The result is unconditional in the case of the complete slip boundary conditions and extends to the no-slip condition for the velocity under some extra hypotheses of Kato’s type concerning the behavior of the fluid in the boundary layer.

This is joint work with Eduard Feireisl and Christian Klingenberg.

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

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