| 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. |
| 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 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金资助（10961029）. |
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| GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE TWO-COMPONENT CAMASSA-HOLM EQUATION WITH ZERO ORDER DISSIPATION |
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ZHU Shi-shi, Zang Lin-en
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School of Mathematics, Yunnan Normal University, Kunming 650500, China
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| Abstract: |
| 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. |
| Key words: two-component Camassa-Holm equation zero order dissipation local wellposedness blow-up global existence |
