Global existence and temporal decay in Keller-Segel models coupled to fluid equations
Analysis of PDEs
2013-04-30 v1
Abstract
We consider a Keller-Segel model coupled to the incompressible Navier-Stokes equations in spatial dimensions two and three. We establish the local existence of regular solutions and present some blow-up criteria for both cases that equations of oxygen concentration is of parabolic or hyperbolic type. We also prove global existence and decay estimate in time under the some smallness conditions of initial data.
Keywords
Cite
@article{arxiv.1304.7536,
title = {Global existence and temporal decay in Keller-Segel models coupled to fluid equations},
author = {Myeongju Chae and Kyungkeun Kang and Jihoon Lee},
journal= {arXiv preprint arXiv:1304.7536},
year = {2013}
}