Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
Autor: | Changming Song, Jina Li, Ran Gao |
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Jazyk: | angličtina |
Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Journal of Applied Mathematics, Vol 2014 (2014) |
Druh dokumentu: | article |
ISSN: | 1110-757X 1687-0042 |
DOI: | 10.1155/2014/928148 |
Popis: | 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. |
Databáze: | Directory of Open Access Journals |
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