Mimi Dai

activity

20122022

most citedUniqueness and non-uniqueness results for dyadic MHD models

3 citations · 7 across the 9 of their papers we have counts for

collaborators

Showing math.APShow all

14 papers · 1 filter

math.AP2022

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 $B (x, y, t) = \nabla \times (a e_{z}) + b e_{z}$ with scalar-valued functi…

math.AP2022

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…

math.AP2022★ 1 cited

Almost sure existence of global weak solutions for supercritical electron MHD

Mimi Dai

We consider the Cauchy problem for the electron magnetohydrodynamics model in the supercritical regime. For rough initial data in $H^{- s} (T^{n})$ with $s > 0$ , we obta…

math.AP2021★ 3 cited

Uniqueness and non-uniqueness results for dyadic MHD models

Mimi Dai, Susan Friedlander

We construct non-unique Leray-Hopf solutions for some dyadic models for magnetohydrodynamics when the intermittency dimension $δ$ is less than 1. In contrast, uniqueness of Leray-H…

math.AP2021★ 2 cited

Blow-up of dyadic MHD models with forward energy cascade

Mimi Dai

A particular type of dyadic model for the magnetohydrodynamics (MHD) with forward energy cascade is studied. The model includes intermittency dimension $δ$ in the nonlinear scales.…

math.AP2020

Phenomenologies of intermittent Hall MHD turbulence

Mimi Dai

We introduce the concept of intermittency dimension for the magnetohydrodynamics (MHD) to quantify the intermittency effect. With dependence on the intermittency dimension, we deri…