The Blow-up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation

Authors

  • Shuyin Wu School of Mathematics, Yunnan Normal University, Kunming 650092, China
  • Hongxiu Yang Gaozhou Normal College, Guangdong University of Petrochemical Technology, Gaozhou 525200, China

DOI:

https://doi.org/10.4208/jpde.v25.n3.2

Keywords:

Camassa-Holm equation;zero order dissipation;local well-posedness;blow-up

Abstract

In this paper, we study the Cauchy problem of the Camassa-Holm equation with a zero order dissipation. We establish local well-posedness and investigate the blow-up phenomena for the equation.

Published

2012-09-02

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How to Cite

The Blow-up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation. (2012). Journal of Partial Differential Equations, 25(3), 208-219. https://doi.org/10.4208/jpde.v25.n3.2