A fully discrete finite element scheme for the d=2,3 chemotaxis-Navier-Stokes system is proven well-posed and mass-conservative, with order Δt+h^k error estimates in 2D relative to regular solutions.
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Numerical analysis for a chemotaxis-Navier-Stokes system
A fully discrete finite element scheme for the d=2,3 chemotaxis-Navier-Stokes system is proven well-posed and mass-conservative, with order Δt+h^k error estimates in 2D relative to regular solutions.