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一类耗散型Camassa-Holm方程的解的爆破 被引量：1

THE BLOW-UP OF THE SOLUTIONS FOR A DISSIPATIVE CAMASSA-HOLM EQUATION
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摘要 本文研究了带耗散项λuxx的Camassa-Holm方程的局部适定性和爆破现象.由Kato定理得到局部适定性的结果,证明了解的爆破机制,并且证明了当初值满足一定条件时解发生爆破,最后研究了爆破解的爆破率. In this paper, we study the local well-posedness and the blow-up phenomenon of the Gamassa-Holm equation with dissipative term λuxx. By using the Kato＇s, the local well-posedness is obtained and the blow-up mechanism is proved, two results of blow-up solutions with certain initial profiles are established, the blow-up rate of the blow-up solutions is studied finally.
作者 徐能 李子宝
机构地区 云南师范大学数学学院
出处 《数学杂志》 CSCD 北大核心 2013年第5期871-880,共10页 Journal of Mathematics
基金 国家自然科学基金(10961029)资助项目
关键词 耗散型Camassa-Holm方程 局部适定性 解的爆破 爆破率 an dissipative Camassa-Holm equation local well-posedness blow-up blow-uprate
分类号 O175.29 [理学—基础数学]
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参考文献16

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数学杂志
2013年 第5期

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