%0 Journal Article %T 具零阶耗散的双成分Camassa-Holm方程的整体解和爆破现象<br>GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE TWO-COMPONENT CAMASSA-HOLM EQUATION WITH ZERO ORDER DISSIPATION %A 作者 %A 朱师师 %A 臧林恩 %J 数学杂志 %D 2017 %X 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.<br>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 %K 双成分Camassa-Holm方程 零阶耗散 局部适定性 爆破 整体存在性< %K br> %K two-component Camassa-Holm equation zero order dissipation local wellposedness blow-up global existence %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170116&flag=1