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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1629–1637 (Mi zvmmf112)  
This article is cited in 10 scientific papers (total in 10 papers)

Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation

M. O. Korpusov, A. G. Sveshnikov

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (790 kB) Citations (10)
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Abstract: An initial boundary value problem for the generalized Boussinesq equation with allowance for linear dissipation and free electron sources is considered. The strong generalized time-local solvability of the problem is proved. Sufficient conditions are obtained for the blowup of the solution and for time-global solvability. Two-sided estimates of the blowup time are derived.
Key words: nonlinear generalized Boussinesq equation, solution blowup conditions, time solvability conditions.
Received: 01.11.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1591–1599
DOI: https://doi.org/10.1134/S0965542508090091
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1629–1637; Comput. Math. Math. Phys., 48:9 (2008), 1591–1599
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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