A chemotaxis-Navier-Stokes system with dynamical boundary conditions
Analysis of PDEs
2023-06-08 v1
Abstract
A chemotaxis-Navier-Stokes system is studied under dynamical boundary conditions in a bounded convex domain with smooth boundary. This models the interaction of populations of swimming bacteria with the surrounding fluid. The existence of a global weak solution is proved using multiple layers of approximations and Rothe's method for the time discretization.
Cite
@article{arxiv.2306.04131,
title = {A chemotaxis-Navier-Stokes system with dynamical boundary conditions},
author = {Baili Chen},
journal= {arXiv preprint arXiv:2306.04131},
year = {2023}
}