A semi-implicit Euler scheme for a 3D stochastic chemotaxis-Navier-Stokes system with transport noise is proven to have discrete solutions and to converge, as the time step goes to zero, to a martingale solution of the m-Galerkin system.
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Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise
A semi-implicit Euler scheme for a 3D stochastic chemotaxis-Navier-Stokes system with transport noise is proven to have discrete solutions and to converge, as the time step goes to zero, to a martingale solution of the m-Galerkin system.