Contemporary Mathematics. Fundamental Directions
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Contemporary Mathematics. Fundamental Directions, 2014, Volume 53, Pages 133–154 (Mi cmfd263)  
On nonviscous solutions of a multicomponent euler system

V. V. Palina, E. V. Radkevicha, N. N. Yakovlevb, E. A. Lukashevb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Turaevo Machine-Building Design Bureau «Soyuz»
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Abstract: We construct a nonstandard regularization for a multicomponent Euler system and obtain analogs of the Hugoniót condition and the Lax stability condition. We investigate the local accessibility problem for phase space points and construct dual bifurcations of one-front solutions of the truncated Euler system into two-front solutions.
English version:
Journal of Mathematical Sciences, 2016, Volume 218, Issue 4, Pages 503–525
DOI: https://doi.org/10.1007/s10958-016-3040-6
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Palin, E. V. Radkevich, N. N. Yakovlev, E. A. Lukashev, “On nonviscous solutions of a multicomponent euler system”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 53, PFUR, M., 2014, 133–154; Journal of Mathematical Sciences, 218:4 (2016), 503–525
Citation in format AMSBIB
\Bibitem{PalRadYak14}
\by V.~V.~Palin, E.~V.~Radkevich, N.~N.~Yakovlev, E.~A.~Lukashev
\paper On nonviscous solutions of a~multicomponent euler system
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2014
\vol 53
\pages 133--154
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd263}
\transl
\jour Journal of Mathematical Sciences
\yr 2016
\vol 218
\issue 4
\pages 503--525
\crossref{https://doi.org/10.1007/s10958-016-3040-6}
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