Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions
We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced flattering property. Second, we apply asymptotic a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/389863 |
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| _version_ | 1832561115236663296 |
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| author | Zhao-hui Fan |
| author_facet | Zhao-hui Fan |
| author_sort | Zhao-hui Fan |
| collection | DOAJ |
| description | We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced
flattering property. Second, we apply asymptotic a priori estimate and obtain the exponential attractor in . Finally, we show the exponential attractor in . |
| format | Article |
| id | doaj-art-cc3aa83441534c5d8968950df23c67f6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-cc3aa83441534c5d8968950df23c67f62025-02-03T01:25:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/389863389863Exponential Attractors for Parabolic Equations with Dynamic Boundary ConditionsZhao-hui Fan0Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450001, ChinaWe study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced flattering property. Second, we apply asymptotic a priori estimate and obtain the exponential attractor in . Finally, we show the exponential attractor in .http://dx.doi.org/10.1155/2013/389863 |
| spellingShingle | Zhao-hui Fan Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions Journal of Applied Mathematics |
| title | Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions |
| title_full | Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions |
| title_fullStr | Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions |
| title_full_unstemmed | Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions |
| title_short | Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions |
| title_sort | exponential attractors for parabolic equations with dynamic boundary conditions |
| url | http://dx.doi.org/10.1155/2013/389863 |
| work_keys_str_mv | AT zhaohuifan exponentialattractorsforparabolicequationswithdynamicboundaryconditions |