Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise
Analysis of PDEs
2021-09-16 v1 Probability
Abstract
We prove non-uniqueness in law of the three-dimensional magnetohydrodynamics system that is forced by random noise of an additive and a linear multiplicative type and has viscous and magnetic diffusion, both of which are weaker than a full Laplacian. We apply convex integration to both equations of velocity and magnetic fields in order to obtain the non-uniqueness in law in the class of probabilistically strong solutions.
Keywords
Cite
@article{arxiv.2109.07015,
title = {Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise},
author = {Kazuo Yamazaki},
journal= {arXiv preprint arXiv:2109.07015},
year = {2021}
}