Applied Mathematics and Mechanics

, Volume 29, Issue 2, pp 259–262

Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms

  • Xu Run-zhang  (徐润章)
  • Zhao Xi-ren  (赵希人)
  • Shen Ji-hong  (沈继红)

DOI: 10.1007/s10483-008-0213-y

Cite this article as:
Xu, R., Zhao, X. & Shen, J. Appl. Math. Mech.-Engl. Ed. (2008) 29: 259. doi:10.1007/s10483-008-0213-y


This paper studies the initial boundary value problem of fourth order wave equation with dispersive and dissipative terms. By using multiplier method, it is proven that the global strong solution of the problem decays to zero exponentially as the time approaches infinite, under a very simple and mild assumption regarding the nonlinear term.

Key words

fourth order wave equation dispersive dissipative asymptotic behaviour 

Chinese Library Classification


2000 Mathematics Subject Classification


Copyright information

© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008

Authors and Affiliations

  • Xu Run-zhang  (徐润章)
    • 1
    • 2
  • Zhao Xi-ren  (赵希人)
    • 2
  • Shen Ji-hong  (沈继红)
    • 2
  1. 1.College of ScienceHarbin Engineering UniversityHarbinP. R. China
  2. 2.College of AutomationHarbin Engineering UniversityHarbinP. R. China