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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 2(18), Pages 113–119
(Mi vtgu259)
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MECHANICS
The Cauchy problem for long wave equations in the axisymmetric case
M. M. Strekhovaab a Tomsk State University
b Ltd. "Termofarm"
Abstract:
The Cauchy problem for a system of integro-differential equations modeling the free-boundary vortex fluid flow is considered. For the initial data satisfying the hyperbolicity conditions, the solvability of the Cauchy problem in the small with respect to time is proved.
Keywords:
vortex flow, hyperbolicity, integro-differential equations.
Received: 10.05.2011
Citation:
M. M. Strekhova, “The Cauchy problem for long wave equations in the axisymmetric case”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 2(18), 113–119
Linking options:
https://www.mathnet.ru/eng/vtgu259 https://www.mathnet.ru/eng/vtgu/y2012/i2/p113
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Abstract page: | 237 | Full-text PDF : | 56 | References: | 54 | First page: | 1 |
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