Stability of the isentropic Riemann solutions of the full multidimensional Euler system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00445718" target="_blank" >RIV/67985840:_____/15:00445718 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/140999827" target="_blank" >http://dx.doi.org/10.1137/140999827</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/140999827" target="_blank" >10.1137/140999827</a>

Result language
angličtina
Original language name
Stability of the isentropic Riemann solutions of the full multidimensional Euler system
Original language description
We consider the complete Euler system describing the time evolution of an invis- cid nonisothermal gas. We show that the rarefaction wave solutions of the one-dimensional (1-D) Riemann problem are stable, in particular unique, in the class of all boundedweak solutions to the associated multidimensional problem. This may be seen as a counterpart of the nonuniqueness results of physically admissible solutions emanating from 1-D shock waves constructed recently by the method of convex integration.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)