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Velocity blow-up in for the 2D Euler equations
Min Jun Jo, Junha Kim
We give a vorticity-dynamical proof of -illposedness of the 2D Euler equations. Our construction shows that the unique Yudovich solution escapes both and i…
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…
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…
On Liouville type theorems in the stationary non-Newtonian fluids
Dongho Chae, Junha Kim, Jörg Wolf
In this paper we prove a Liouville type theorem for the stationary equations of a non-Newtonian fluid in with the viscous part of the stress tensor $\mathbf{A}_p(u)…