Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping
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 fami...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7044906 |
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| author | Penghui Lv Yan Liu Shasha Yu |
| author_facet | Penghui Lv Yan Liu Shasha Yu |
| author_sort | Penghui Lv |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-11f9e8df455e4c5581395479cdc8ac20 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-11f9e8df455e4c5581395479cdc8ac202025-08-20T02:01:54ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7044906Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong DampingPenghui Lv0Yan Liu1Shasha Yu2Applied Technology College of Soochow UniversityLijiang Culture and Tourism CollegeSuzhou Industrial Park Xingyang SchoolIn 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.http://dx.doi.org/10.1155/2022/7044906 |
| spellingShingle | Penghui Lv Yan Liu Shasha Yu Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping Journal of Mathematics |
| title | Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping |
| title_full | Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping |
| title_fullStr | Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping |
| title_full_unstemmed | Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping |
| title_short | Long-Term Dynamic Behavior of a Higher-Order Coupled Kirchhoff Model with Nonlinear Strong Damping |
| title_sort | long term dynamic behavior of a higher order coupled kirchhoff model with nonlinear strong damping |
| url | http://dx.doi.org/10.1155/2022/7044906 |
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