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Uniform blow-up profile for a degenerate parabolic system with nonlocal source

โœ Scribed by Zhiwen Duan; Weibing Deng; Chunhong Xie

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
891 KB
Volume
47
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

ln this paper, we establish the local existence of the solution and the finite-time blowup result for the following system:

where p, q > 1 and 0 < rl, r2 < 1. Moreover, it is proved that the solution has global blow-up and

uniformly on compact subsets of f/, where 7 = Pq -(1 -rl)(1 -r2) and T* is the blow-up time.

๐Ÿ“œ SIMILAR VOLUMES

Blow-up for a degenerate parabolic equat
Blow-up for a degenerate parabolic equation with a nonlocal source
โœ Qilin Liu; Youpeng Chen; Chunhong Xie ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 < ฮฑ < 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
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โœ Fucai Li; Chunhong Xie ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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