1 citations · 1 across the 4 of their papers we have counts for
7 papers
Floquet instability near a stationary Euler flow in 3D
Mimi Dai
We study the three-dimensional (3D) incompressible Euler equation linearized about a smooth compactly supported stationary flow of Gavrilov type. Baldi's volume-preserving action--…
Cascade mechanisms for Navier-Stokes blow-up
Alexey Cheskidov, Mimi Dai, Stan Palasek
In a recent preprint (arXiv:2511.09556), we exhibited an inverse energy cascade for the 3D Navier-Stokes equations which results in "instantaneous" Type I blow-up and failure of un…
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 norm at time , while rem…
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…
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…
Non-uniqueness of forced active scalar equations with even drift operators
Mimi Dai, Susan Friedlander
We consider forced active scalar equations with even and homogeneous degree 0 drift operator on . Inspired by the non-uniqueness construction for dyadic fluid models,…
Norm Inflation for Generalized Navier-Stokes Equations
Alexey Cheskidov, Mimi Dai
We consider the incompressible Navier-Stokes equation with a fractional power of the Laplacian in the three dimensional case. We prove the existence of a smooth so…