𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary conditions

✍ Scribed by Zhaoxin Jiang; Sining Zheng; Xianfa Song

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
391 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, the blow-up rate for a nonlinear diffusion equation with a nonlinear boundary condition is established together with the necessary and sufficient blow-up conditions.

📜 SIMILAR VOLUMES

Blow-up analysis for a system of heat eq
Blow-up analysis for a system of heat equations coupled via nonlinear boundary conditions
✍ Xianfa Song 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB 👁 1 views

## Abstract In this paper, we study a system of heat equations $u\_t=\Delta u, \, v\_t=\Delta v\,{\rm in}\,\Omega\times(0,T)$ coupled __via__ nonlinear boundary conditions Here __p__, __q__>0. We prove that the solutions always blow up in finite time for non‐trivial and non‐negative initial value