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Global solutions and blow-up problems to a porous medium system with nonlocal sources and nonlocal boundary conditions

✍ Scribed by Haihua Lu

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 187 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1504

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✦ Synopsis

This paper deals with a porous medium system with nonlocal sources and weighted nonlocal boundary conditions. The main aim of this paper is to study how the reaction terms, the diffusion terms, and the weight functions in the boundary conditions affect the global and blow-up properties to a porous medium system. The conditions on the global existence and blow-up in finite time for nonnegative solutions are given. Furthermore, the blow-up rate estimates of the blow-up solutions are also established.

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