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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 91–108
(Mi timm551)
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This article is cited in 2 scientific papers (total in 2 papers)
Application of the generalized method of characteristic series to the construction of a solution of an initial-boundary value problem for a system of quasi-linear equations
A. L. Kazakov Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Abstract:
A generalization of the method of characteristic series developed by A. F. Sidorov is suggested. The method is applied to the investigation of initial-boundary value problems for partial differential equations, including equations appearing in gas dynamics. A solution of a mixed problem for a system of quasi-linear equations is constructed in the form of multiple series in powers of characteristic functions, and the corresponding analog of the Cauchy–Kovalevskaya theorem is proved.
Keywords:
partial differential equations, initial-boundary value problem, series, gas dynamics.
Received: 26.10.2009
Citation:
A. L. Kazakov, “Application of the generalized method of characteristic series to the construction of a solution of an initial-boundary value problem for a system of quasi-linear equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 91–108
Linking options:
https://www.mathnet.ru/eng/timm551 https://www.mathnet.ru/eng/timm/v16/i2/p91
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Abstract page: | 310 | Full-text PDF : | 95 | References: | 52 | First page: | 4 |
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