广义两分量Camassa-Holm方程的柯西问题  

The Cauchy Problem for a Generalized Two-Component Camassa-Holm System

作　　者：张颖[1] 张江红[2] 

机构地区：[1]天水师范学院数学与统计学院天水741001 [2]天水师范学院体育学院天水74i001

出　　处：《数学学报（中文版）》2013年第6期923-934,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11101332);数学天元基金资助项目(11226195)

摘　　要：研究了一个广义两分量Camassa-Holm方程的柯西问题,该模型可从经过线性切流的浅水波的理论机制中得出.文中讨论了该模型的爆破现象,建立了爆破发生时柯西问题的初始值满足的充分条件.同时研究了强解的持久和唯一连续性.We investigate a generalized two-component Camassa-Holm system which can be derived from the theory of shallow water waves moving over a linear shear flow. We study the blow-up phenomena and establish a sufficient condition on the initial data to guarantee wave-breaking for the system. Moreover, the persistence properties of the strong solutions are also analyzed.

关 键 词：关键词广义Camassa-Holm方程 爆破 持久性 唯一连续性 

分 类 号：O175.2[理学—数学]