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Sibirsk. Mat. Zh., 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

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.

UDC: 517.95

Received: 23.01.2009


 English version:
Siberian Mathematical Journal, 2010, 51:2, 199–214

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© Steklov Math. Inst. of RAS, 2024