The Attractor on a Class of Viscous Nonlinear Dispersive Wave Equations

نویسندگان

  • Ying Gao
  • Wenxia Chen
  • Lixin Tian
  • Wenbin Zhang
چکیده

Abstract: This paper aims at presenting a proof of the attractor for a class of viscous nonlinear dispersive wave equations. In this paper, the global existence of solution to this equation in L2 under the periodical condition is studied. By using the time estimate of this equation, we get the compact and bounded absorbing set and the existence of the global attractor for the viscous nonlinear dispersive wave equation is prooved.

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تاریخ انتشار 2009