𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source

✍ Scribed by P. Cianci; A.V. Martynenko; A.F. Tedeev

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
387 KB
Volume
73
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Blow-up for a degenerate parabolic equat
Blow-up for a degenerate parabolic equation with a nonlocal source
✍ Qilin Liu; Youpeng Chen; Chunhong Xie πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 156 KB

In this paper, we investigate the blowup properties of the positive solutions to the following nonlocal degenerate parabolic equation with homogeneous Dirichlet boundary conditions in the interval (0, l), where 0 < Ξ± < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its

Existence and blow-up for a degenerate p
Existence and blow-up for a degenerate parabolic equation with nonlocal source
✍ Fucai Li; Chunhong Xie πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 134 KB

In this paper, we investigate the positive solution of nonlinear degenerate equation ut = u p ( u+au u q d x) with Dirichlet boundary condition. Conditions on the existence of global and blow-up solution are given. Furthermore, it is proved that there exist two positive constants C1; C2 such that

The Blow-Up Rate for a Degenerate Parabo
The Blow-Up Rate for a Degenerate Parabolic Equation with a Non-local Source
✍ Weibing Deng; Zhiwen Duan; Chunhong Xie πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 151 KB

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.

Global existence and blow-up of solution
Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source
✍ Xiaosen Han; Mingxin Wang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 145 KB πŸ‘ 1 views

## Abstract In this paper we investigate the global existence and finite time blow‐up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here βˆ‚__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an