Wave-breaking criterion and global solution for a generalized periodic coupled Camassa-Holm system

被引：0
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作者：
Yunxi Guo
Ying Wang
机构：
[1] Sichuan University of Science and Engineering,Department of Applied Mathematics
[2] Sichuan Province University,Key Laboratory of Non
来源：
Boundary Value Problems | / 2014卷
关键词：
a generalized periodic coupled Camassa-Holm system; wave-breaking criterion; local well-posedness; global solutions;
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摘要：
The local well-posedness for a generalized periodic coupled Camassa-Holm system is established in the Sobolev space Hs(S)×Hs−1(S) with s>72. A wave-breaking criterion of strong solutions is acquired in the Sobolev space Hs(S)×Hs−1(S) with s>32 by employing the localization analysis in the transport equation theory and a sufficient condition of global existence for the system is derived in the Sobolev space Hs(S)×Hs−1(S) with s>3.
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