This article is cited in 2 papers

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

M. O. Korpusov

Lomonosov Moscow State University, Moscow, Russia

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.

Received: 07.02.2012

DOI: 10.4213/tmf8327

 English version: Theoretical and Mathematical Physics, 2013, 174:3, 307–314

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