Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise
Numerical Analysis
2025-06-05 v1 Numerical Analysis
Analysis of PDEs
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
Keywords
Cite
@article{arxiv.2506.03658,
title = {Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise},
author = {Erika Hausenblas and Boris Jidjou Moghomye and Paul Andre Razafimandimby},
journal= {arXiv preprint arXiv:2506.03658},
year = {2025}
}