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SUMMARY:Euler system with a polytropic equation of state as a vanishing vi
 scosity limit - Simon Markfelder (University of Cambridge)
DTSTART:20220228T140000Z
DTEND:20220228T150000Z
UID:TALK170705@talks.cam.ac.uk
CONTACT:Daniel Boutros
DESCRIPTION:We consider the Euler system of gas dynamics endowed with the 
 incomplete (e-rho-p) equation of state relating the internal energy e to t
 he mass density rho and the pressure p. We show that any sufficiently smoo
 th solution can be recovered as a vanishing viscosity - heat conductivity 
 limit of the Navier-Stokes-Fourier system with a properly defined temperat
 ure. The result is unconditional in the case of the complete slip boundary
  conditions and extends to the no-slip condition for the velocity under so
 me extra hypotheses of Kato's type concerning the behavior of the fluid in
  the boundary layer.\n\nThis is joint work with Eduard Feireisl and Christ
 ian Klingenberg.
LOCATION:CMS\, MR13
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