Blow-up and global solutions to a new integrable model with two components

[摘要] We will discuss a new integrable model which describes the motion of fluid. The present work is mainly concerned with global existence and blow-up phenomena which are largely due to the application of conservation laws for this integrable equations. Moreover, a new blow-up criterion for nonperiodic case is also established via the associated potential. Some interesting examples are also given to illustrate the application of our results. The precise blow-up rate is also investigated. Finally, we will emphasize the relations of classical Camassa-Holm equation and our model by analyzing the existence of global solutions. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-12-01

[关键词] Integrable system;Best constant;Wave breaking;Global existence