Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation

Changming Song, Jina Li and Ran Gao

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

Abstract:

We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tension parameter) less than but very close to 1/3. The nonexistence of global solution to the initial boundary value problem for the singularly perturbed Boussinesq-type equation is discussed and two examples are given.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:928148

DOI: 10.1155/2014/928148

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