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 :
| Szerzők: | |
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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 |
| LEADER | 01118nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta73660 | ||
| 005 | 20211108090513.0 | ||
| 008 | 211108s2021 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.8 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ya Tian | |
| 245 | 1 | 0 | |a Blow-up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition |h [elektronikus dokumentum] / |c Ya Tian |
| 260 | |c 2021 | ||
| 300 | |a 11 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Ran Xu |e aut |
| 700 | 0 | 1 | |a Yao Qin |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73660/1/ejqtde_2021_008.pdf |z Dokumentum-elérés |