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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
朱师师, 臧林恩
云南师范大学数学学院, 云南昆明 650500

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）.

GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE TWO-COMPONENT CAMASSA-HOLM EQUATION WITH ZERO ORDER DISSIPATION

ZHU Shi-shi, Zang Lin-en

School of Mathematics, Yunnan Normal University, Kunming 650500, China

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