On the space-time analyticity of the Keller-Segel-Navier-Stokes system
Analysis of PDEs
2024-02-08 v1
Abstract
In this paper, we study the coupled Keller-Segel-Navier-Stokes system, which models chemotaxis occuring in ambient viscous fluid. We consider this nonlinear, nonlocal system on a periodic strip, equipped with homogeneous Neumann boundary conditions for the Keller-Segel part and no-slip boundary condition for the fluid part. We prove the simultaneous space-time analyticity of the solution up to the boundary based on energy methods.
Keywords
Cite
@article{arxiv.2402.04564,
title = {On the space-time analyticity of the Keller-Segel-Navier-Stokes system},
author = {Elie Abdo and Zhongtian Hu},
journal= {arXiv preprint arXiv:2402.04564},
year = {2024}
}
Comments
21 pages