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Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term
Authors:Shaohua Wu & Lei Liu
Institution:School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Abstract:In this paper, we come up with a parabolic system modelling chemotaxis with memory term, and establish the local existence and uniqueness of weak solutions. The main methods we use are the fixed point theorem and semigroup theory.
Keywords:Parabolic system                                                                                                chemotaxis                                                                                                memory term                                                                                                fixed point theorem  
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