@Article{CMAA-4-234,
author = {Li , HaoPeng , Yingping and Xiang , Zhaoyin},
title = {Suppression of Chemotactic Singularity via Poiseuille Flow in a Self-Consistent Patlak-Keller-Segel-Navier-Stokes System},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {2},
pages = {234--284},
abstract = {<p style="text-align: justify;">In this paper, we investigate a fully parabolic Patlak-Keller-Segel-Navier-Stokes system with a self-consistent mechanism near the Poiseuille flow $A(y^2,0)$ in $\mathbb{T}×\mathbb{R},$ which is more natural than the Couette flow from a biomathematical perspective. We demonstrate that the solution to this system maintains
global regularity, provided the amplitude $A$ is suitably large and the non-zero
modes of the initial chemical density and vorticity are suitably small. To avoid
the complex study of the spectral properties of the linear operator and its resolvent, we prove our result using a straightforward weighted energy method
combined with a bootstrap argument.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2025-0004},
url = {http://global-sci.org/intro/article_detail/cmaa/24123.html}
}