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Volume 38, Issue 2
Existence of Nontrivial Steady State of a Chemotaxis Fluid Coupled System

Yong Zeng

DOI: 10.4208/jpde.v38.n2.3

J. Part. Diff. Eq., 38 (2025), pp. 155-170.

Published online: 2025-06

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  • 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.

  • Keywords

Chemotaxis, Navier-Stokes equations, steady state, mixed boundary conditions.

  • AMS Subject Headings

35A01, 35J66, 35Q92, 92C17

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-155, author = {Zeng , Yong}, title = {Existence of Nontrivial Steady State of a Chemotaxis Fluid Coupled System}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {2}, pages = {155--170}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n2.3}, url = {http://global-sci.org/intro/article_detail/jpde/24214.html} }
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 -

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.

Zeng , Yong. (2025). Existence of Nontrivial Steady State of a Chemotaxis Fluid Coupled System. Journal of Partial Differential Equations. 38 (2). 155-170. doi:10.4208/jpde.v38.n2.3
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