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Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping

Author

Listed:
  • Penghui Lv
  • Yan Liu
  • Shasha Yu
  • A. M. Nagy

Abstract

In this paper, we study the long-time dynamics problem of a class of higher-order Kirchhoff coupled systems with nonlinear strong damping. The existence and uniqueness of the solutions of these equations in different spaces are proved by prior estimation and Faedo–Galerkin method; secondly, the family of global attractors of these problems is proved by using the compactness theorem. The results of the Kirchhoff coupled group are promoted through research.

Suggested Citation

  • Penghui Lv & Yan Liu & Shasha Yu & A. M. Nagy, 2022. "Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping," Journal of Mathematics, Hindawi, vol. 2022, pages 1-12, June.
    • Handle: RePEc:hin:jjmath:7044906
    DOI: 10.1155/2022/7044906
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