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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 3, Pages 407–435 (Mi zvmmf8071)  
This article is cited in 1 scientific paper (total in 1 paper)

Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation

M. O. Korpusov, A. G. Sveshnikov

Faculty of Physics, Moscow State University, Moscow, 119992 Russia
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Abstract: A model equation is considered that describes the relaxation of an initial perturbation in a crystalline semiconductor in the case when its electrical conductivity depends nonlocally on the field. For certain initial parameters, the effect of finite-time “cooling” is proved to occur. For other parameters, the first term of the long-time asymptotics is found and the remainder of the asymptotic expansion is estimated.
Key words: nonlinear pseudoparabolic equations, finite-time relaxation, long-time asymptotics of solutions, estimate of asymptotic expansion remainder.
Received: 25.05.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 3, Pages 377–403
DOI: https://doi.org/10.1134/S0965542511030080
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 407–435; Comput. Math. Math. Phys., 51:3 (2011), 377–403
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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