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math.AP2023★ 2 cited
Non-unique weak solutions of forced SQG
Mimi Dai, Qirui Peng
We construct non-unique weak solutions for forced surface quasi-geostrophic (SQG) equation. This is achieved through a convex integration scheme adapted to the…
math.AP2023
Uniqueness for a stochastic ideal dyadic MHD model
Mimi Dai, Qirui Peng, Cheng Ouyang
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 stoch…
math.AP2023★ 2 cited
Non-unique stationary solutions of forced SQG
Mimi Dai, Qirui Peng
We show the existence of non-unique stationary weak solutions for forced surface quasi-geostrophic (SQG) equation via a convex integration scheme. The scheme is implemented for the…