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arXiv · 2306.10909

Uniqueness for a stochastic ideal dyadic MHD model

Mimi Dai·Qirui Peng·Cheng Ouyang
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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.

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Mimi Dai, Qirui Peng, Cheng Ouyang. 2023-06-19. Uniqueness for a stochastic ideal dyadic MHD model. https://arxiv.org/abs/2306.10909

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