Uniqueness of rarefaction waves in multidimensional compressible Euler system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00448120" target="_blank" >RIV/67985840:_____/15:00448120 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0219891615500149" target="_blank" >http://dx.doi.org/10.1142/S0219891615500149</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219891615500149" target="_blank" >10.1142/S0219891615500149</a>

Result language
angličtina
Original language name
Uniqueness of rarefaction waves in multidimensional compressible Euler system
Original language description
We show that 1-D rarefaction wave solutions are unique in the class of bounded entropy solutions to the multidimensional compressible Euler system. Such a result may be viewed as a counterpart of the recent examples of non-uniqueness of the shock wave solutions to the Riemann problem, where infinitely many solutions are constructed by the method of convex integration.
Czech name
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Czech description
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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

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