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2014 Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
Changming Song, Jina Li, Ran Gao
J. Appl. Math. 2014(SI06): 1-7 (2014). DOI: 10.1155/2014/928148

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.

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Changming Song. Jina Li. Ran Gao. "Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation." J. Appl. Math. 2014 (SI06) 1 - 7, 2014. https://doi.org/10.1155/2014/928148

Information

Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07131981
MathSciNet: MR3216140
Digital Object Identifier: 10.1155/2014/928148

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI06 • 2014
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