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Stability of the isentropic Riemann solutions of the full multidimensional Euler system
Type of publication: Article
Citation:
Publication status: Published
Journal: SIAM Journal on Mathematical Analysis
Volume: 47
Number: 3
Year: 2015
Pages: 2416–2425
DOI: 10.1137/140999827
Abstract: 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.
Preprint project: NCMM
Preprint year: 2014
Preprint number: 25
Preprint ID: NCMM/2014/25
Keywords: Euler system, isentropic solutions, rarefaction wave, Riemann problem
Authors Feireisl, Eduard
Kreml, Ondřej
Vasseur, Alexis
Added by: [JP]
Total mark: 0
Attachments
  • 20141208203647.pdf
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