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

Guoguang Lin and Lingjuan Hu

Journal of Mathematics Research, 2018, vol. 10, issue 5, 49-59

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.

Keywords: higher-order Kirchhoff-type; Lipschitz continuity; discrete squeezing property; exponential attractor (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:5:p:49

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