TY  - JOUR
T1  - Stability of the isentropic Riemann solutions of the full multidimensional Euler system
A1  - Feireisl, Eduard
A1  - Kreml, Ondřej
A1  - Vasseur, Alexis
JA  - SIAM Journal on Mathematical Analysis
Y1  - 2015
VL  - 47
IS  - 3
SP  - 2416–2425
M2  - doi: 10.1137/140999827
KW  - Euler system
KW  - isentropic solutions
KW  - rarefaction wave
KW  - Riemann problem
N2  - We consider the complete Euler system describing the time evolution of an inviscid nonisothermal gas. We show that the rarefaction wave solutions of the 1D Riemann problem are stable, in particular unique, in the class of all bounded weak solutions to the associated multiD problem. This may be seen as a counterpart of the non-uniqueness results of physically admissible solutions emanating from 1D shock waves constructed recently by the method of convex integration.
M1  - Preprint project = NCMM
M1  - Preprint year = 2014
M1  - Preprint number = 25
M1  - Preprint ID = NCMM/2014/25
ER  -