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




Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation - Download this document for free, or read online. Document in PDF available to download.

Journal of Applied MathematicsVolume 2014 2014, Article ID 928148, 7 pages

Research ArticleCollege of Science, Zhongyuan University of Technology, Zhengzhou 450007, China

Received 9 March 2014; Accepted 10 May 2014; Published 26 May 2014

Academic Editor: Qiu-Ming Luo

Copyright © 2014 Changming Song et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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





Author: Changming Song, Jina Li, and Ran Gao

Source: https://www.hindawi.com/



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