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Global existence of weak solutions to quasilinear degenerate Keller–Segel systems of parabolic–parabolic type with small data

✍ Scribed by Sachiko Ishida; Tomomi Yokota


Book ID
113699225
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
274 KB
Volume
252
Category
Article
ISSN
0022-0396

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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