Work

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

Year: 2018

Type: article

Abstract: In this paper, we study a free boundary problem for a class of parabolic-elliptic type chemotaxis model in high dimensional symmetry domain Ω. 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 Ω with free boundary condition. Besides, we get the explicit formula for the free boundary and show the chemotactic collapse for the solution of the system.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2018122

Authors: Hua Chen, Wenbin Lv, Shaohua Wu

Institutions: Shanxi University, Wuhan University

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2807684876

FWCI: 0.868

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Cited by: 6

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