The Exponential Attractor for a Class of Nonlinear Coupled Kirchhoff Equations with Strong Linear Damping


  •  Guoguang Lin    
  •  Lingjuan Hu    

Abstract

This paper investigates the dynamics for a class of nonlinear higher-order coupled Kirchhoff equations with strong linear damping. By means of the method proposed by Eden et al., the Lipschitz continuity and the discrete squeezing property of its solution semigroup are proved, and thus the existence of the exponential attractor is obtained.



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