Blow-up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition
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 ine...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.8 |
| Online Access: | http://acta.bibl.u-szeged.hu/73660 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 11 |
| ISSN: | 1417-3875 |