Non-Newtonian polytropic filtration systems with nonlinear boundary conditions
<p>Abstract</p> <p>This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by constructi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/1/2 |
| Summary: | <p>Abstract</p> <p>This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by constructing various upper and lower solutions.</p> <p> <b>Mathematics Subject Classification (2000)</b> </p> <p>35K50, 35K55, 35K65</p> |
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| ISSN: | 1687-2762 1687-2770 |