Uniqueness for a stochastic ideal dyadic MHD model

Published 19 Jun 2023 in math.AP and math.PR | (2306.10909v1)

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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