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 | |
| Added by: | [JP] |
| Total mark: | 0 |
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