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Global existence and blow-up for the degenerate and singular nonlinear parabolic system with a nonlocal source

โœ Scribed by Congming Peng; Zuodong Yang; Baoli Xie

Book ID
108216484
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
879 KB
Volume
72
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Existence and blow-up for a degenerate p
Existence and blow-up for a degenerate parabolic equation with nonlocal source
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

Uniform blow-up profile for a degenerate
Uniform blow-up profile for a degenerate parabolic system with nonlocal source
โœ Zhiwen Duan; Weibing Deng; Chunhong Xie ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 891 KB

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