JournalsaihpcVol. 38, No. 6pp. 1725–1737

Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system

  • Eduard Feireisl

    Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, CZ-115 67 Praha 1, Czech Republic, Institute of Mathematics, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany

  • Antonín Novotný

    Université de Toulon, IMATH, EA 2134, BP 20132, 83957 La Garde, France
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system cover

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Abstract

We consider the vanishing viscosity limit for a model of a general non-Newtonian compressible fluid in , . We suppose that the initial data approach a profile determined by the Riemann data generating a planar rarefaction wave for the isentropic Euler system. Under these circumstances the associated sequence of dissipative solutions approaches the corresponding rarefaction wave strongly in the energy norm in the vanishing viscosity limit. The result covers the particular case of a linearly viscous fluid governed by the Navier–Stokes system.

Cite this article

Eduard Feireisl, Antonín Novotný, Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 6, pp. 1725–1737

DOI 10.1016/J.ANIHPC.2021.01.001