24 citations · 164 across the 45 of their papers we have counts for
47 papers
Global existence of 2D electron MHD near a steady state
Mimi Dai
We study the electron magnetohydrodynamics (MHD) in two dimensional geometry, which has a rich family of steady states. In an anisotropic resistivity context, we show global in tim…
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…
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…
Dissipation wavenumber and regularity for electron magnetohydrodynamics
Mimi Dai, Chao Wu
We consider the electron magnetohydrodynamics (MHD) with static background ion flow. A special situation of with scalar-valued functi…
Dyadic models for fluid equations: a survey
Alexey Cheskidov, Mimi Dai, Susan Friedlander
Over the centuries mathematicians have been challenged by the partial differential equations (PDEs) that describe the motion of fluids in many physical contexts. Important and beau…
Reduced models for electron magnetohydrodynamics: well-posedness and singularity formation
Mimi Dai
We propose some one-dimensional reduced models for the three-dimensional electron magnetohydrodynamics which involves a highly nonlinear Hall term with intricate structure. The mod…