Global existence and decay properties of solutions for some degenerate quasilinear parabolic systems modelling chemotaxis

✍ Scribed by Yoshie Sugiyama

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 148 KB
• Volume: 63
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.03.020

✦ Synopsis

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