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Blowup in Korteweg-de Vries-type systems

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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.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. V. Yushkov

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  1. E. V. Yushkov
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Correspondence to E. V. Yushkov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 173, No. 2, pp. 197–206, November, 2012.

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Yushkov, E.V. Blowup in Korteweg-de Vries-type systems. Theor Math Phys 173, 1498–1506 (2012). https://doi.org/10.1007/s11232-012-0129-z

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  • DOI: https://doi.org/10.1007/s11232-012-0129-z

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