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

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Piotr Knosalla
  • Johannes Lankeit

Organisationseinheiten

Externe Organisationen

  • University of Opole
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Details

OriginalspracheEnglisch
Aufsatznummer21
Seitenumfang20
FachzeitschriftZeitschrift fur Angewandte Mathematik und Physik
Jahrgang76
Ausgabenummer1
Frühes Online-Datum24 Dez. 2024
PublikationsstatusVeröffentlicht - Feb. 2025

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.

ASJC Scopus Sachgebiete

Zitieren

Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions. / Knosalla, Piotr; Lankeit, Johannes.
in: Zeitschrift fur Angewandte Mathematik und Physik, Jahrgang 76, Nr. 1, 21, 02.2025.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Knosalla P, Lankeit J. Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions. Zeitschrift fur Angewandte Mathematik und Physik. 2025 Feb;76(1):21. Epub 2024 Dez 24. doi: 10.48550/arXiv.2408.10080, 10.1007/s00033-024-02366-w
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