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4 papers · 2 filters
Removing discretely self-similar singularities for the 3D Navier-Stokes equations
Dongho Chae, Joerg Wolf
We study the scenario of discretely self-similar blow-up for Navier-Stokes equations. We prove that at the possible blow-up time such solutions only one point singularity. In case…
On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations
Dongho Chae, Joerg Wolf
We prove Liouville type theorems for the self-similar solutions to the Navier-Stokes equations. One of our results generalizes the previous ones by Nečas-Ružička-Šverak and Tsai. U…
Regularity of the stationary Hall magnetohydrodynamic equations on the plane
Dongho Chae, Joerg Wolf
We study the regularity of weak solutions to the 3D valued stationary Hall magnetohydrodynamic equations on . We prove that every weak solution is smooth. Furthermore, w…
On the Geometric Regularity Conditions for the 3D Navier-Stokes Equations
Dongho Chae, Jihoon Lee
We prove geometrically improved version of Prodi-Serrin type blow-up criterion. Let and be the velocity and the vorticity of solutions to the 3D Navier-Stokes equations and…