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
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Mathematics QA1-939
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
Externí odkaz:	https://doaj.org/article/02c26560e2e2423ea1b50d7943fef94e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF