| Abstract: |
| I will review recent developments on the Hall-magnetohydrodynamics system perturbed by noise. This system is second-order quasi-linear when added by a diffusion, and thus well-known results for the Navier-Stokes equations which is second-order semi-linear may not be extended. We discuss results such as global existence of martingale solutions, local existence of a unique solution, global existence of unique solution for small initial data, irreducibility, and more if time permits. |
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