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具零阶耗散的双成分Camassa-Holm方程的整体解和爆破现象

GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE TWO-COMPONENT CAMASSA-HOLM EQUATION WITH ZERO ORDER DISSIPATION
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摘要 本文研究了具零阶耗散的双成分Camassa-Holm方程的Cauchy问题.由Kato定理得到局部适定性的结果,然后研究了解的整体存在性和爆破现象. In this paper, we study the two-component Camassa-Holm equation with the zero order dissipation. By using the Kato＇s theorem, the local well-posedness is obtain. Then we study the global existence and blow-up phenomena of the solutions for the Cauchy problem.
作者 朱师师 臧林恩 ZHU Shi-shi ZANG Lin-en(School of Mathematics, Yunnan Normal University, Kunming 650500, Chin)
机构地区 云南师范大学数学学院
出处 《数学杂志》 北大核心 2017年第1期152-168,共17页 Journal of Mathematics
基金 国家自然科学基金资助(10961029)
关键词 双成分Camassa-Holm方程 零阶耗散 局部适定性 爆破 整体存在性 two-component Camassa-Holm equation zero order dissipation local well-posedness blow-up global existence
分类号 O175.29 [理学—基础数学]
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