Long-term behaviour in a chemotaxis-fluid system with logistic source
- verfasst von
- Johannes Lankeit
- Abstract
We consider the coupled chemotaxis Navier-Stokes model with logistic source terms:{equation presented} in a bounded, smooth domain Ω?3 under homogeneous Neumann boundary conditions for n and c and homogeneous Dirichlet boundary conditions for u and with given functions fϵ L∞(Ω× (0,∞)) satisfying certain decay conditions and φC1+β(Ω) for some βϵ (0, 1). We construct weak solutions and prove that after some waiting time they become smooth and finally converge to the semi-trivial steady state (K/μ, 0, 0).
- Externe Organisation(en)
-
Universität Paderborn
- Typ
- Artikel
- Journal
- Mathematical Models and Methods in Applied Sciences
- Band
- 26
- Seiten
- 2071-2109
- Anzahl der Seiten
- 39
- ISSN
- 0218-2025
- Publikationsdatum
- 30.09.2016
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Modellierung und Simulation, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1142/S021820251640008X (Zugang:
Offen)
