Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model

Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model

Year:    2023

Author:    Wenbin Lyn

Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 365–380

Abstract

In this paper, we are interested in a free boundary problem for a chemotaxis model with double free boundaries. We use contraction mapping principle and operator-theoretic approach to establish local solvability of a chemotaxis system in 1-Dimensional domain with non-constant coefficient free boundaries.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v36.n4.3

Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 365–380

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Free boundary chemotaxis local solution.

Author Details

Wenbin Lyn