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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 2, Pages 197–206
DOI: https://doi.org/10.4213/tmf8331
(Mi tmf8331)
 

This article is cited in 4 scientific papers (total in 4 papers)

Blowup in Korteweg–de Vries-type systems

E. V. Yushkov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (369 kB) Citations (4)
References:
Abstract: We consider a pair Korteweg–de Vries system of the Boussinesq type and its symmetric analogue. Such systems, which describe the behavior of a liquid in a channel, are shown to have no solutions defined globally in time under certain conditions. Using the method of nonlinear capacity, we obtain sufficient conditions for the solution blowup and estimate the blowup time for both these systems and for a generalized multicomponent Korteweg–de Vries-type system.
Keywords: Korteweg–de Vries-type system of equations, Boussinesq-type system, initial and boundary value problem, solvability global in time.
Received: 24.02.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 2, Pages 1498–1506
DOI: https://doi.org/10.1007/s11232-012-0129-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. V. Yushkov, “Blowup in Korteweg–de Vries-type systems”, TMF, 173:2 (2012), 197–206; Theoret. and Math. Phys., 173:2 (2012), 1498–1506
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8331
  • https://doi.org/10.4213/tmf8331
  • https://www.mathnet.ru/eng/tmf/v173/i2/p197
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:504
    Full-text PDF :154
    References:63
    First page:24
     
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