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

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  • Lifang Niu
  • Jianwen Zhang

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 ).

Suggested Citation

  • Lifang Niu & Jianwen Zhang, 2012. "Existence of Global Attractors for the Nonlinear Plate Equation with Memory Term," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-7, October.
    • Handle: RePEc:hin:jnlmpe:658052
    DOI: 10.1155/2012/658052
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