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Blow-up and global existence for a nonlocal degenerate parabolic system

โœ Scribed by Weibing Deng; Yuxiang Li; Chunhong Xie

Book ID
108345181
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
163 KB
Volume
277
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

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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

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This paper deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = A@ + v\*enu, vt = Au" + uaeflv with homogeneous Dirichlet boundary data. The results depend crucially on the sign of the difference pq -pclv and on the domain R.

Uniform blow-up profile for a degenerate
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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