Existence of Global Attractors for the Nonlinear Plate Equation with Memory Term

Lifang Niu and Jianwen Zhang

Mathematical Problems in Engineering, 2012, vol. 2012, 1-7

Abstract:

A two-dimensional nonlinear plate equation is revisited, which arises from the model of the viscoelastic thin rectangular plate with four edges supported. We establish that the system is exponentially decayed if the memory kernel satisfies the condition of the exponential decay. Furthermore, we show the existence of the global attractor by verifying the condition ( C ).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:658052

DOI: 10.1155/2012/658052

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