Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation

作者：Hu, Qiaoyi; Yin, Zhaoyang^*

来源：Monatshefte fur Mathematik, 2012, 165(2): 217-235.

DOI：10.1007/s00605-011-0293-5

• A periodic 2-component Camassa-Holm equation
• Global existence
• Blow-up
• Blow-up rate

We first establish local well-posedness for a periodic 2-component Camassa-Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation.

• 出版日期2012-2
• 单位华南农业大学; 中山大学