On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient

NOVRUZOV E., Hagverdiyev A.

JOURNAL OF DIFFERENTIAL EQUATIONS, vol.257, no.12, pp.4525-4541, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 257 Issue: 12
  • Publication Date: 2014
  • Doi Number: 10.1016/j.jde.2014.08.016
  • Journal Name: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4525-4541
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, we consider the dissipative Camassa-Holm equation with arbitrary dispersion coefficient and compactly supported initial data. We demonstrate the simple conditions on the initial data that lead to finite time blow-up of the solution in finite time or guarantee that the solution exists globally. Also, propagation speed for the equation under consideration is investigated. (C) 2014 Elsevier Inc. All rights reserved.