Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915324352266240 |
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| author | Hausenblas, Erika Moghomye, Boris Jidjou Razafimandimby, Paul Andre |
| author_facet | Hausenblas, Erika Moghomye, Boris Jidjou Razafimandimby, Paul Andre |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03658 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise Hausenblas, Erika Moghomye, Boris Jidjou Razafimandimby, Paul Andre Numerical Analysis Analysis of PDEs 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 |
| title | Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2506.03658 |