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Yin, Z. (2005) On the Blow-Up of Solutions of the Periodic Camassa-Holm Equation. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 12, 375-381.

has been cited by the following article:

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

  AUTHORS: Yang Li, Jingyi Liu, Xincheng Zhu

  KEYWORDS: Periodic Two-Component Camassa-Holm Equation, Local Well-Posedness, Blow-Up, Global Existence, Monotonicity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.10, October 28, 2020

  ABSTRACT: 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.