A free boundary problem for a class of parabolic type chemotaxis model

Hua  Chen; Wenbin  Lv; Shaohua  Wu

doi:10.3934/krm.2015.8.667

Article Contents

2015, Volume 8, Issue 4: 667-684. Doi: 10.3934/krm.2015.8.667

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A free boundary problem for a class of parabolic type chemotaxis model

1.
School of Mathematics and Statistics, Wuhan University, Computational Science Hubei Key Laboratory, Wuhan University, Wuhan, 430072

Received: January 31, 2015

Revised: April 30, 2015

Published: November 2015

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Abstract

In this paper, we study a free boundary problem for a class of parabolic type chemotaxis model in high dimensional symmetry domain $\Omega$. By using the contraction mapping principle and operator semigroup approach, we establish the existence of the solution for such kind of chemotaxis system in the domain $\Omega$ with free boundary condition.

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Mathematics Subject Classification: Primary: 35A01; Secondary: 47D03, 35K57, 35R35.

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