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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 639–649
DOI: https://doi.org/10.7868/S0044466916040141 (Mi zvmmf10379) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field

A. V. Nesterov

Moscow City Pedagogical University
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DOI: https://doi.org/10.7868/S0044466916040141
Abstract: An asymptotic expansion of the solution to the Cauchy problem for a class of hyperbolic weakly nonlinear systems with many spatial variables is constructed. A parabolic quasilinear equation describing the behavior of the solution at asymptotically large values of the independent variables is obtained. The pseudo-diffusion processes that depend on the relationship between the number of equations and the number of spatial variables are analyzed. The structure of the subspace in which there are pseudo-diffusion evolution processes of the solution in the far field is described.
Key words: hyperbolic systems, Cauchy problem, small nonlinearity, asymptotics in the far field, parabolic equations, critical case.
Received: 25.02.2015
Revised: 05.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 626–636
DOI: https://doi.org/10.1134/S0965542516040126
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. V. Nesterov, “On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 639–649; Comput. Math. Math. Phys., 56:4 (2016), 626–636
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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