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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 3, Pages 70–80
(Mi smj1653)
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This article is cited in 17 scientific papers (total in 17 papers)
The equation of potential flows of a compressible viscous fluid at small reynolds numbers: Existence, uniqueness, and stabilization of solutions
A. V. Kazhikhov
Abstract:
We consider the system of equations for the motion of a compressible fluid at small Reynolds numbers. In the class of potential flows, the system is reduced to a single third order equation for the velocity potential. Existence and uniqueness theorems in various functional spaces are proved for a solution to the original initial-boundary value problem and estimates are given for the stabilization rate at infinite time.
Received: 10.09.1992
Citation:
A. V. Kazhikhov, “The equation of potential flows of a compressible viscous fluid at small reynolds numbers: Existence, uniqueness, and stabilization of solutions”, Sibirsk. Mat. Zh., 34:3 (1993), 70–80; Siberian Math. J., 34:3 (1993), 457–467
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Abstract page: | 633 | Full-text PDF : | 326 |
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