1 citations · 1 across the 5 of their papers we have counts for
6 papers
Finite-time blowup for 2D unforced IPM
Mimi Dai
We construct an odd smooth initial density for the unforced incompressible porous media (IPM) equation on whose solution develops a finite-time blowup. The components…
Instantaneous blowup of incompressible flow with passive tracer
Mimi Dai, Xiaotong "Dawson" Yang
We construct a family of solutions of the incompressible flow with a passive tracer for which both and blow up at time . Aw…
Instantaneous blowup and non-uniqueness of smooth solutions of MHD
Mimi Dai
We construct a family of solutions of the incompressible magnetohydrodynamic (MHD) system, the norm of which blows up instantaneously at the critical rate. The s…
Determining wavenumbers for Hall and electron magnetohydrodynamics turbulence
Hassan Babaei, Mimi Dai
In turbulent flows, the Kolmogorov wavenumber characterizes the smallest scales at which viscous effects dominate. A mathematical analogue of this notion first introduced by Foias…
Ill-posedness of D electron MHD
Mimi Dai
We consider the electron magnetohydrodynamics (MHD) in the context where the 3D magnetic field depends only on the two horizontal plane variables. In particular, the magnetic field…
Non-unique solutions for electron MHD
Mimi Dai
We consider the electron magnetohydrodynamics (MHD) equation on the 3D torus . For a given smooth vector field with zero mean and zero divergence, we can construct…