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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 249–267 (Mi smj2081)  
On solvability of a space-periodic problem for the nonstationary VT-equation of transonic gas dynamics

S. N. Glazatov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We consider the problem of existence and uniqueness of a solution to the nonstationary VT-equation of transonic gas dynamics which is periodic in an appropriate space variable and study the question of smoothness of this solution in time.
Keywords: nonstationary VT-equation, $x$-periodic initial-boundary value problem, existence, uniqueness, increase of smoothness.
Received: 23.01.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 199–214
DOI: https://doi.org/10.1007/s11202-010-0021-8
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. N. Glazatov, “On solvability of a space-periodic problem for the nonstationary VT-equation of transonic gas dynamics”, Sibirsk. Mat. Zh., 51:2 (2010), 249–267; Siberian Math. J., 51:2 (2010), 199–214
Citation in format AMSBIB
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