𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Blow-Up Rate for a Degenerate Parabolic Equation with a Non-local Source

✍ Scribed by Weibing Deng; Zhiwen Duan; Chunhong Xie

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
151 KB
Volume
264
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we establish the local existence of the solution and the finite time blow-up result for the equation

where T U is the blow-up time.

πŸ“œ SIMILAR VOLUMES

Localization for a doubly degenerate par
Localization for a doubly degenerate parabolic equation with strongly nonlinear sources
✍ Zhaoyin Xiang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 215 KB

In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, We prove that, for non-negative compactly supported initial data, the strict localization occurs if and only if q m(p-1).

Global existence for degenerate paraboli
Global existence for degenerate parabolic equations with a non-local forcing
✍ Jeffrey R. Anderson; Keng Deng πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 156 KB πŸ‘ 2 views

We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap