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Volume 36, Issue 4
Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model

Wenbin Lyn

DOI: 10.4208/jpde.v36.n4.3

J. Part. Diff. Eq., 36 (2023), pp. 365-380.

Published online: 2023-11

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  • 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.

  • Keywords

Free boundary, chemotaxis, local solution.

  • AMS Subject Headings

35A01, 35K57, 35M10, 47D03

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-36-365, author = {Lyn , Wenbin}, title = {Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model}, journal = {Journal of Partial Differential Equations}, year = {2023}, volume = {36}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/22134.html} }
TY - JOUR T1 - Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model AU - Lyn , Wenbin JO - Journal of Partial Differential Equations VL - 4 SP - 365 EP - 380 PY - 2023 DA - 2023/11 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n4.3 UR - https://global-sci.org/intro/article_detail/jpde/22134.html KW - Free boundary, chemotaxis, local solution. AB -

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.

Wenbin Lyn. (2023). Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model. Journal of Partial Differential Equations. 36 (4). 365-380. doi:10.4208/jpde.v36.n4.3
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