27 citations · 72 across the 9 of their papers we have counts for
4 papers · 1 filter
On bifurcation of self-similar solutions of the stationary Navier-Stokes equations
Hyunju Kwon, Tai-Peng Tsai
Landau solutions are special solutions to the stationary incompressible Navier-Stokes equations in the three dimensional space excluding the origin. They are self-similar and axisy…
Local regularity of weak solutions of the hypodissipative Navier-Stokes equations
Hyunju Kwon, Wojciech S. Ożański
We consider the 3D incompressible hypodissipative Navier-Stokes equations, when the dissipation is given as a fractional Laplacian for , and we provide a…
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations
Xinyu Cheng, Hyunju Kwon, Dong Li
We show the existence of nontrivial stationary weak solutions to the surface quasi-geostrophic equations on the two dimensional periodic torus.
On Non-uniqueness of Hölder continuous globally dissipative Euler flows
Camillo De Lellis, Hyunju Kwon
We show that for any $\al<\frac 17$ there exist $\al$-Hölder continuous weak solutions of the three-dimensional incompressible Euler equation, which satisfy the local energy inequa…