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.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 53, Proceedings of the Crimean Autumn Mathematical School-Symposium KROMSH-2013, 2014.
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Palin, V.V., Radkevich, E.V., Yakovlev, N.N. et al. On Nonviscous Solutions of a Multicomponent Euler System. J Math Sci 218, 503–525 (2016). https://doi.org/10.1007/s10958-016-3040-6
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DOI: https://doi.org/10.1007/s10958-016-3040-6