Existence of attractors for the non-autonomous Berger equation with nonlinear damping
In this article, we study the long-time behavior of the non-autonomous Berger equation with nonlinear damping. We prove the existence of a compact uniform attractor for the Berger equation with nonlinear damping in the space $(H^2(\Omega)\cap H_0^1(\Omega))\times L^2(\Omega)$.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-11-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/278/abstr.html |
| _version_ | 1828841167726313472 |
|---|---|
| author | Lu Yang Xuan Wang |
| author_facet | Lu Yang Xuan Wang |
| author_sort | Lu Yang |
| collection | DOAJ |
| description | In this article, we study the long-time behavior of the non-autonomous
Berger equation with nonlinear damping. We prove the existence of a
compact uniform attractor for the Berger equation with nonlinear
damping in the space $(H^2(\Omega)\cap H_0^1(\Omega))\times L^2(\Omega)$. |
| first_indexed | 2024-12-12T19:57:43Z |
| format | Article |
| id | doaj.art-9b196c9ad4a94b6db6b0211fc889d6cb |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T19:57:43Z |
| publishDate | 2017-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9b196c9ad4a94b6db6b0211fc889d6cb2022-12-22T00:13:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-11-012017278,114Existence of attractors for the non-autonomous Berger equation with nonlinear dampingLu Yang0Xuan Wang1 Lanzhou Univ., Lanzhou, China Northwest Normal Univ., Lanzhou, China In this article, we study the long-time behavior of the non-autonomous Berger equation with nonlinear damping. We prove the existence of a compact uniform attractor for the Berger equation with nonlinear damping in the space $(H^2(\Omega)\cap H_0^1(\Omega))\times L^2(\Omega)$.http://ejde.math.txstate.edu/Volumes/2017/278/abstr.htmlUniform attractorBerger equationnonlinear damping |
| spellingShingle | Lu Yang Xuan Wang Existence of attractors for the non-autonomous Berger equation with nonlinear damping Electronic Journal of Differential Equations Uniform attractor Berger equation nonlinear damping |
| title | Existence of attractors for the non-autonomous Berger equation with nonlinear damping |
| title_full | Existence of attractors for the non-autonomous Berger equation with nonlinear damping |
| title_fullStr | Existence of attractors for the non-autonomous Berger equation with nonlinear damping |
| title_full_unstemmed | Existence of attractors for the non-autonomous Berger equation with nonlinear damping |
| title_short | Existence of attractors for the non-autonomous Berger equation with nonlinear damping |
| title_sort | existence of attractors for the non autonomous berger equation with nonlinear damping |
| topic | Uniform attractor Berger equation nonlinear damping |
| url | http://ejde.math.txstate.edu/Volumes/2017/278/abstr.html |
| work_keys_str_mv | AT luyang existenceofattractorsforthenonautonomousbergerequationwithnonlineardamping AT xuanwang existenceofattractorsforthenonautonomousbergerequationwithnonlineardamping |