Ya Tian and Ran Xu and Yao Qin: Blow-up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition. (2021)
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Abstract
In this paper, we study porous media equation ut = ∆u m − u p with nonlinear boundary condition ∂u ∂ν = kuq . We determine some sufficient conditions for the occurrence of finite time blow-up or global existence. Moreover, lower and upper bounds for blow-up time are also derived by using various inequality techniques.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 8 |
| ISSN: | 1417-3875 |
| Number of Pages: | 11 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.8 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 10-11. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 08. 09:05 |
| Last Modified: | 2021. Nov. 08. 09:05 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73660 |
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