Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary
We investigate the blow-up phenomena for nonnegative solutions of porous medium equation with Neumann boundary conditions. We find that the absorption and the nonlinear flux on the boundary have some competitions in the blow-up phenomena.
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| Main Authors: | , , |
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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/10.1155/2013/952126 |
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| _version_ | 1849683907377627136 |
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| author | Yan Hu Jing Li Liangwei Wang |
| author_facet | Yan Hu Jing Li Liangwei Wang |
| author_sort | Yan Hu |
| collection | DOAJ |
| description | We investigate the blow-up phenomena for nonnegative solutions of porous medium equation with Neumann boundary conditions. We find that the absorption and the nonlinear flux on the boundary have some competitions in the blow-up phenomena. |
| format | Article |
| id | doaj-art-cba5d833d6a84d9eab1d2c4d42c72465 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-cba5d833d6a84d9eab1d2c4d42c724652025-08-20T03:23:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/952126952126Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the BoundaryYan Hu0Jing Li1Liangwei Wang2School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, ChinaCollege of Science, Minzu University of China, Beijing 100081, ChinaSchool of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, ChinaWe investigate the blow-up phenomena for nonnegative solutions of porous medium equation with Neumann boundary conditions. We find that the absorption and the nonlinear flux on the boundary have some competitions in the blow-up phenomena.http://dx.doi.org/10.1155/2013/952126 |
| spellingShingle | Yan Hu Jing Li Liangwei Wang Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary Journal of Applied Mathematics |
| title | Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary |
| title_full | Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary |
| title_fullStr | Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary |
| title_full_unstemmed | Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary |
| title_short | Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary |
| title_sort | blow up phenomena for porous medium equation with nonlinear flux on the boundary |
| url | http://dx.doi.org/10.1155/2013/952126 |
| work_keys_str_mv | AT yanhu blowupphenomenaforporousmediumequationwithnonlinearfluxontheboundary AT jingli blowupphenomenaforporousmediumequationwithnonlinearfluxontheboundary AT liangweiwang blowupphenomenaforporousmediumequationwithnonlinearfluxontheboundary |