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Boundedness of global solutions for a porous medium system with moving localized sources

โœ Scribed by Yuanxiao Li; Wenjie Gao; Yuzhu Han

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
752 KB
Volume
72
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

This paper deals with a class of porous medium systems with moving localized sources

with homogeneous Dirichlet boundary conditions. It is shown that under certain conditions, solutions of the above system blow up in finite time for large a and b or large initial data while there exist global positive solutions to the above system for small a and b or small initial data. Moreover, in the one dimensional space case, it is also shown that all global positive solutions of the above problem are uniformly bounded.

๐Ÿ“œ SIMILAR VOLUMES

Global solutions and blow-up problems to
Global solutions and blow-up problems to a porous medium system with nonlocal sources and nonlocal boundary conditions
โœ Haihua Lu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 187 KB

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 m