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

0546943 - MÚ 2022 RIV NL eng J - Journal Article
Feireisl, Eduard - Novotný, A.
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system.
Annales de l'Institut Henri Poincaré. Analyse non Linéaire. Roč. 38, č. 6 (2021), s. 1725-1737. ISSN 0294-1449. E-ISSN 1873-1430
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : isentropic Euler system * non-linear viscous fluid * rarefaction wave * vanishing viscosity limit
OECD category: Pure mathematics
Impact factor: 2.310, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.anihpc.2021.01.001

We consider the vanishing viscosity limit for a model of a general non-Newtonian compressible fluid in Rd, d=2,3. 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.
Permanent Link: http://hdl.handle.net/11104/0323323