Global attractor for the one dimensional wave equation with displacement dependent damping

Khanmamedov A.

APPLIED MATHEMATICS LETTERS, vol.25, no.3, pp.439-442, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2012
  • Doi Number: 10.1016/j.aml.2011.09.032
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.439-442
  • Hacettepe University Affiliated: Yes

Abstract

We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor. (C) 2011 Elsevier Ltd. All rights reserved.