Journal of Lanzhou University of Technology ›› 2021, Vol. 47 ›› Issue (2): 163-167.

• Scientific • Previous Articles     Next Articles

Existence of global attractors for a kind of Kirchhoff type wave equation with strong damping

NIU Li-fang, WEI Qian-rui   

  1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
  • Received:2019-10-17 Online:2021-04-28 Published:2021-05-11

Abstract: Study a class of strongly damped Kirchhoff wave equations with critical growth exponent. In a given Sobolve space, the existence of global attractors for global solutions of the system is proved by using Galerkin method and operator semi-group theory.

Key words: Galerkin methods, Kirchhoff type wave equation, global attractor

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