TY - JOUR
T1 - Existence of Nontrivial Steady State of a Chemotaxis Fluid Coupled System
AU - Zeng , Yong
JO - Journal of Partial Differential Equations
VL - 2
SP - 155
EP - 170
PY - 2025
DA - 2025/06
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n2.3
UR - https://global-sci.org/intro/article_detail/jpde/24214.html
KW - Chemotaxis, Navier-Stokes equations, steady state, mixed boundary conditions.
AB - <p style="text-align: justify;">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.</p>