A chemotaxis-Navier-Stokes system with dynamical boundary conditions

2023/06/07 by Chen, Baili
#35A01 (Secondary) #35D30 (Primary) 35Q30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.04131

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.

Related

• Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
• Numerical analysis for a chemotaxis-Navier-Stokes system
• On the existence and uniqueness of solution to a stochastic Chemotaxis-Navier-Stokes model
• Global existence for an attraction-repulsion chemotaxis fluid model with logistic source
• Global solutions to the free boundary value problem of a chemotaxis-Navier-Stokes system