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

0546943 - MÚ 2022 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA18-05974S
Institucionální podpora: RVO:67985840
Klíčová slova: isentropic Euler system * non-linear viscous fluid * rarefaction wave * vanishing viscosity limit
Obor OECD: Pure mathematics
Impakt faktor: 2.310, rok: 2021
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0323323