Blow-Up for a Periodic Two-Component Camassa-Holm Equation with Generalized Weakly Dissipation

• 作者: Xincheng Zhu
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Periodic Two-Component Camassa-Holm Equation Local Well-Posedness BLOW-UP Global Existence MONOTONICITY
• 年，卷（期）: 2020,（10）
• 页码范围: 2223-2240
• 页数: 18页
• 分类号: O17

摘要

In this paper we study a periodic two-component Camassa-Holm equation with generalized weakly dissipation. The local well-posedness of Cauchy problem is investigated by utilizing Kato’s theorem. The blow-up criteria and the blow-up rate are established by applying monotonicity. Finally, the global existence results for solutions to the Cauchy problem of equation are proved by structuring functions.