Mimi Dai

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math.AP2025

Instantaneous Type I blow-up and non-uniqueness of smooth solutions of the Navier-Stokes equations

Alexey Cheskidov, Mimi Dai, Stan Palasek

For any smooth, divergence-free initial data, we construct a solution of the Navier--Stokes equations that exhibits Type~I blow-up of the $L^{\infty}$ norm at time $T_{*} > 0$ , while rem…

math.AP2025

Blowup for the forced electron MHD

Mimi Dai

The electron magnetohydrodynamics (MHD) contains a highly nonlinear Hall term with an interesting structure. Exploring the Hall nonlinear structure, we investigate possible phenome…

math.AP2024★ 1 cited

Beale--Kato--Majda-type continuation criteria for Hall- and electron-magnetohydrodynamics

Mimi Dai, Sung-Jin Oh

We show that regular solutions to electron-MHD with resistivity can be continued as long as the time integral of the supremum of the current gradient remains finite. This dimension…