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Norm behaviour of solutions to a parabolic–elliptic system modelling chemotaxis in a domain of ℝ3

✍ Scribed by Hua Chen; Xinhua Zhong

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
137 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we study a parabolic–elliptic system defined on a bounded domain of ℝ^3^, which comes from a chemotactic model. We first prove the existence and uniqueness of local in time solution to this problem in the Sobolev spaces framework, then we study the norm behaviour of solution, which may help us to determine the blow‐up norm of the maximal solution. Copyright © 2004 John Wiley & Sons, Ltd.

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