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Theoretical and Mathematical Physics

, Volume 174, Issue 3, pp 307–314 | Cite as

Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory

  • M. O. KorpusovEmail author
Article

Abstract

We consider the phenomenon of solution blowup for the system of equations describing surface water waves and also for the acoustic wave equation in viscous medium using the test-function method developed by Galactionov, Pokhozhaev, and Mitidieri.

Keywords

finite-time blowup shallow water equation 

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia

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