4 papers · 1 filter
The role of the pressure in the regularity theory for the Navier-Stokes equations
Hyunju Kwon
We first show the equivalence of two classes of generalized suitable weak solutions to the 3D incompressible Navier-Stokes equations allowing distributional pressure, the class of…
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…
Strong ill-posedness of logarithmically regularized 2D Euler equations in the borderline Sobolev Space
Hyunju Kwon
Logarithmically regularized 2D Euler equations are active scalar equations with the non-local velocity for the scalar . Two types of the regularizi…
Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
Hyunju Kwon, Tai-Peng Tsai
Consider the Cauchy problem of incompressible Navier-Stokes equations in with uniformly locally square integrable initial data. If the square integral of the initial…