Breaking waves and persistence property for a two-component Camassa-Holm system

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• 作者：Long Weiup> ; up>up>hduwei@126.com" class="auth_mail" title="E-mail the corresponding authorup> ; Yang Wang up>yangwang79@126.com" class="auth_mail" title="E-mail the corresponding authorup> ; Haiying Zhang up>zhanghy@hdu.edu.cn" class="auth_mail" title="E-mail the corresponding authorup>
• 关键词：Two-component Camassa&ndash ; Holm system ; Wave-breaking ; Blow-up criterion ; Persistence property
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：445
• 期：1
• 页码：1084-1096
• 全文大小：375 K

文摘

In this paper, we study a two-component Camassa–Holm system modeling shallow water waves moving over a linear shear flow. Some new blow-up results and a persistence property in weighted upport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304449&_mathId=si1.gif&_user=111111111&_pii=S0022247X16304449&_rdoc=1&_issn=0022247X&md5=a9495581c024021df2027daed284e729" title="Click to view the MathML source">Lup>pup> space are established.