Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier-Stokes-Fourier system
arXiv:2404.10604
Abstract
We consider the vanishing dissipation limit of the compressible Navier-Stokes-Fourier system, where the initial data approach a profile generating a planar rarefaction wave for the limit Euler system. We show that the associated weak solutions converge unconditionally to the planar rarefaction wave strongly in the energy norm.
25 pages