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Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition

Author

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  • Fan Geng
  • Ruizhai Li
  • Xiaojun Zhang
  • Xiangyu Ge

Abstract

The paper studies the existence of exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition . The main result is concerned with nonlinearities with supercritical growth. In that case, we construct a bounded absorbing set with further regularity and obtain quasi-stability estimates. Then the exponential attractor is established in natural energy space .

Suggested Citation

  • Fan Geng & Ruizhai Li & Xiaojun Zhang & Xiangyu Ge, 2016. "Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-11, March.
    • Handle: RePEc:hin:jnddns:5036048
    DOI: 10.1155/2016/5036048
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    Cited by:

    1. Ding, Hang & Zhou, Jun, 2022. "Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

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