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arXiv · 2506.03658

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise

Erika Hausenblas·Boris Jidjou Moghomye·Paul Andre Razafimandimby
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Abstract

This work is devoted to the convergence of a time-discrete numerical scheme of a semi-discretization model arising from biology, consisting of a chemotaxis equation coupled with a Galerkin approximation of Navier-Stokes system driven by transport noise in a three-dimensional bounded and convex domain. We propose a semi-implicit Euler numerical scheme approximating the infinite dimensional model, for which we study the well-posedness and derive some uniform estimates for the discrete variables

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Erika Hausenblas, Boris Jidjou Moghomye, Paul Andre Razafimandimby. 2025-06-04. Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise. https://arxiv.org/abs/2506.03658

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