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

Penghui Lv, Yan Liu, Shasha Yu and A. M. Nagy

Journal of Mathematics, 2022, vol. 2022, 1-12

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7044906

DOI: 10.1155/2022/7044906

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