4.7 Article

Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 246, Issue 11, Pages 4309-4321

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2008.12.008

Keywords

Weakly dissipative Camassa-Holm equation; Global existence; Blow-up

Categories

Funding

  1. NNSF of China [10531040]
  2. RFDP [200805580014]

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This paper is concerned with global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation. A new global existence result and a new blow-up result for strong solutions to the equation with certain profiles are presented. The obtained results improve considerable the previous results. (C) 2008 Elsevier Inc. All rights reserved.

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