Year: 2025
Author: Yong Zeng
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 154–169
Abstract
This paper studied a chemotaxis fluid coupled system which models the so-called “chemotactic Boycott effect”. Under certain inhomogeneous boundary conditions, we proved the existence of nontrivial steady state which depends only on one variable of such system in $[0,1]^3.$ A positive lower bound of the oxygen concentration c was also obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v38.n2.3
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 2 : pp. 154–169
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Chemotaxis Navier-Stokes equations steady state mixed boundary conditions.