Junha Kim

activity

20192026

most citedOn Liouville type theorems in the stationary non-Newtonian fluids

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

Velocity blow-up in $C^{1} \cap H^{2}$ for the 2D Euler equations

Min Jun Jo, Junha Kim

We give a vorticity-dynamical proof of $C^{1} \cap H^{2}$ -illposedness of the 2D Euler equations. Our construction shows that the unique Yudovich solution escapes both $C^{1}$ and $H^{2}$ i…

math.AP2022

Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain

Juhi Jang, Junha Kim

We consider an initial boundary value problem of the multi-dimensional Boussinesq equations in the absence of thermal diffusion with velocity damping or velocity diffusion under th…

math.AP2022

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…

Velocity blow-up in C1∩H2 for the 2D Euler equations

Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain

Global well-posedness of the partially damped 2D MHD equations via a direct normal mode method for the anisotropic linear operator

Velocity blow-up in $C^{1} \cap H^{2}$ for the 2D Euler equations