A chemotaxis-Navier-Stokes system with dynamical boundary conditions

Baili Chen

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arXiv · 2306.04131

A chemotaxis-Navier-Stokes system with dynamical boundary conditions

Baili Chen

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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.

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Baili Chen. 2023-06-07. A chemotaxis-Navier-Stokes system with dynamical boundary conditions. https://arxiv.org/abs/2306.04131

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