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Global existence and nonexistence for some degenerate and strongly coupled quasilinear parabolic systems

โœ Scribed by Jianjun Li; Wenjie Gao

Book ID
113721324
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
151 KB
Volume
387
Category
Article
ISSN
0022-247X

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Global existence and decay properties of
Global existence and decay properties of solutions for some degenerate quasilinear parabolic systems modelling chemotaxis
โœ Yoshie Sugiyama ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

The following degenerate parabolic system modelling chemotaxis is considered. where = 0 or 1. We show here that the system of (KS) with m > 1 has a time global weak solution (u, v) with a uniform bound in time when (u 0 , v 0 ) is a nonnegative function and