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, cilt.257, sa.12, ss.4525-4541, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 257 Sayı: 12
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.jde.2014.08.016
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4525-4541
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.