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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 1, Pages 3–17
DOI: https://doi.org/10.4213/tmf6924 (Mi tmf6924) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Blowup of a positive-energy solution of model wave equations in nonlinear dynamics

M. O. Korpusov

M. V. Lomonosov Moscow State University
Full-text PDF (443 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf6924
Abstract: We consider four problems of model nonlinear equations appearing in nonlinear mechanics and obtain sufficient conditions for the finite-time blowup of the problem solutions in bounded domains with homogeneous Dirichlet conditions. The initial system energy can be an arbitrarily large positive quantity. We use a modified Levin method to prove the blowup.
Keywords: finite-time blowup, generalized Klein–Gordon equation, nonlinear hyperbolic equation, nonlinear mixed boundary value problem, field theory.
Received: 18.06.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 1, Pages 421–434
DOI: https://doi.org/10.1007/s11232-012-0041-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. O. Korpusov, “Blowup of a positive-energy solution of model wave equations in nonlinear dynamics”, TMF, 171:1 (2012), 3–17; Theoret. and Math. Phys., 171:1 (2012), 421–434
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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