Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients
This paper concerns the singularity and global regularity for the porous medium equation with time-dependent coefficients under homogeneous Dirichlet boundary conditions. Firstly, some global regularity results are established. Furthermore, we investigate the blow-up solution to the boundary value p...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/8292835 |
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| _version_ | 1832550431338790912 |
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| author | Anyin Xia Xianxiang Pu Shan Li |
| author_facet | Anyin Xia Xianxiang Pu Shan Li |
| author_sort | Anyin Xia |
| collection | DOAJ |
| description | This paper concerns the singularity and global regularity for the porous medium equation with time-dependent coefficients under homogeneous Dirichlet boundary conditions. Firstly, some global regularity results are established. Furthermore, we investigate the blow-up solution to the boundary value problem. The upper and lower estimates to the lifespan of the singular solution are also obtained here. |
| format | Article |
| id | doaj-art-87e59d941d0a45f1810425b76aa35ba0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-87e59d941d0a45f1810425b76aa35ba02025-02-03T06:06:50ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/82928358292835Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent CoefficientsAnyin Xia0Xianxiang Pu1Shan Li2Department of Mathematics, Sichuan University, Chengdu 610065, ChinaSichuan Sanhe College of Professionals, Luzhou 646200, ChinaBusiness School, Sichuan University, Chengdu 610064, ChinaThis paper concerns the singularity and global regularity for the porous medium equation with time-dependent coefficients under homogeneous Dirichlet boundary conditions. Firstly, some global regularity results are established. Furthermore, we investigate the blow-up solution to the boundary value problem. The upper and lower estimates to the lifespan of the singular solution are also obtained here.http://dx.doi.org/10.1155/2016/8292835 |
| spellingShingle | Anyin Xia Xianxiang Pu Shan Li Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients Advances in Mathematical Physics |
| title | Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients |
| title_full | Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients |
| title_fullStr | Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients |
| title_full_unstemmed | Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients |
| title_short | Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients |
| title_sort | singularity analysis for a class of porous medium equation with time dependent coefficients |
| url | http://dx.doi.org/10.1155/2016/8292835 |
| work_keys_str_mv | AT anyinxia singularityanalysisforaclassofporousmediumequationwithtimedependentcoefficients AT xianxiangpu singularityanalysisforaclassofporousmediumequationwithtimedependentcoefficients AT shanli singularityanalysisforaclassofporousmediumequationwithtimedependentcoefficients |