15 citations · 29 across the 24 of their papers we have counts for
5 papers · 1 filter
On regularity and singularity for solutions to the Navier-Stokes equations
Hi Jun Choe, Jörg Wolf, Minsuk Yang
We study local regularity properties of a weak solution to the Cauchy problem of the incompressible Navier-Stokes equations. We present a new regularity criterion for the weak…
A new local regularity criterion for suitable weak solutions of the Navier--Stokes equations in terms of the velocity gradient
Hi Jun Choe, Joerg Wolf, Minsuk Yang
We study the partial regularity of suitable weak solutions to the three dimensional incompressible Navier--Stokes equations. There have been several attempts to refine the Caffarel…
A parabolic Triebel-Lizorkin space estimate for the fractional Laplacian operator
Minsuk Yang
In this paper we prove a parabolic Triebel-Lizorkin space estimate for the operator given by \[T^αf(t,x) = \int_0^t \int_{{\mathbb R}^d} P^α(t-s,x-y)f(s,y) dyds,\] where the kernel…
An estimate of the second moment of a sampling of the Riemann zeta function on the critical line
Sihun Jo, Minsuk Yang
We investigate the second moment of a random sampling of the Riemann zeta function on the critical line. Our main result states that if is an increasing random…
The Minkowski dimension of interior singular points in the incompressible Navier--Stokes equations
Youngwoo Koh, Minsuk Yang
We study the possible interior singular points of suitable weak solutions to the three dimensional incompressible Navier--Stokes equations. We present an improved parabolic upper M…