Uniqueness for a stochastic ideal dyadic MHD model
Analysis of PDEs
2023-06-21 v1 Probability
Abstract
We study a stochastic dyadic model with both forward and backward energy cascade mechanisms for the inviscid and non-resistive magnetohydrodynamics. For a particular class of stochastic forcing, we show weak uniqueness for the stochastic system. However the solution dissipates the energy which is formally an invariant quantity for the system.
Cite
@article{arxiv.2306.10909,
title = {Uniqueness for a stochastic ideal dyadic MHD model},
author = {Mimi Dai and Qirui Peng and Cheng Ouyang},
journal= {arXiv preprint arXiv:2306.10909},
year = {2023}
}
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26 pages