Blow-up of the Solutions of the Initial Boundary Value Problem of Camassa-Holm Equation

作     者：ZHU Xu-sheng WANG Wei-ke 

作者机构：School of Mathematics and Statistics Wuhan University Wuhan 430072 Hubei China Department of Mathematics East China Jiaotong University Nanchang 330013 Jiangxi China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2005年第10卷第6期

页      面：961-965页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Founda-tion of China (10131050) 

主　　题：Camassa-Holm equation initial boundary value problem blow-up 

摘      要：Any classical non-null solution to the initial boundary value problem of Camassa-Holm equation on finite interval with homogeneous boundary condition must blow up in finite time. An initial boundary value problem of CamassaHolm equation on half axis is also investigated in this paper. When the initial potential is nonnegative,then the classical solution exists globally; if the derivative of initial data on zero point is nonpositire, then the life span of nonzero solution nmst be finite.