1 citations · 1 across the 5 of their papers we have counts for
5 papers
Sharp asymptotic stability of the incompressible porous media equation
Roberta Bianchini, Min Jun Jo, Jaemin Park +1
In this paper, we prove the asymptotic stability of the incompressible porous media (IPM) equation near a stable stratified density, for initial perturbations in the Sobolev space…
Sharper bounds on the box-counting dimension of singularities in the hyperdissipative Navier-Stokes system
Min Jun Jo
We study upper bounds on the box-counting dimension of the set of potential singular points in suitable weak solutions to the 3D incompressible hyperdissipative Navier-Stokes syste…
Global well-posedness of the partially damped 2D MHD equations via a direct normal mode method for the anisotropic linear operator
Min Jun Jo, Junha Kim, Jihoon Lee
We prove the global well-posedness of the 2D incompressible non-resistive MHD equations with a velocity damping term near the non-zero constant background magnetic field. To this e…
Quantitative asymptotic stability of the quasi-linearly stratified densities in the IPM equation on the three fundamental domains
Min Jun Jo, Junha Kim
We analyze the asymptotic stability of the quasi-linearly stratified densities in the 2D inviscid incompressible porous medium equation on with respect to the buoyancy fre…
Non-convergence of the rotating stratified flows toward the quasi-geostrophic dynamics
Min Jun Jo, Junha Kim, Jihoon Lee
The quasi-geostrohpic (QG) equation has been used to capture the asymptotic dynamics of the rotating stratified Boussinesq flows in the regime of strong stratification and rapid ro…