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

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• 作者：Qiaoyi Hu (1) (2)
  Zhaoyang Yin (2)
  
• 关键词：A periodic 2 ; component Camassa–Holm equation ; Global existence ; Blow ; up ; Blow ; up rate ; 35G40 ; 35L05
• 刊名：Monatshefte f眉r Mathematik
• 出版年：2012
• 出版时间：February 2012
• 年：2012
• 卷：165
• 期：2
• 页码：217-235
• 全文大小：245KB
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• 作者单位：Qiaoyi Hu (1) (2)
  Zhaoyang Yin (2)
  
  1. Department of Mathematics, South China Agricultural University, Guangzhou, 510642, China
  2. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China
  
• ISSN：1436-5081

文摘

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.