Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions

authored by

Piotr Knosalla, Johannes Lankeit

Abstract

This paper concerns the asymptotics of certain parabolic–elliptic chemotaxis-consumption systems with logistic growth and constant concentration of chemoattractant on the boundary. First we prove that in two dimensional bounded domains there exists a unique global classical solution which is uniformly bounded in time, and then, we show that if the concentration of chemoattractant on the boundary is sufficiently low, then the solution converges to the positive steady state as time goes to infinity.

Organisation(s)

Institute of Applied Mathematics

External Organisation(s)

University of Opole

Type

Article

Journal

Zeitschrift fur Angewandte Mathematik und Physik

Volume

76

No. of pages

20

ISSN

0044-2275

Publication date

24.12.2024

Publication status

E-pub ahead of print

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics, General Physics and Astronomy, Applied Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2408.10080 (Access: Open)
https://doi.org/10.1007/s00033-024-02366-w (Access: Open)