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math.AP2018★ 15 cited
Improved bounds for box dimensions of potential singular points to the Navier--Stokes equations
Yanqing Wang, Minsuk Yang
In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier--Stokes equations. It is shown that upper box dimension of i…
math.AP2018
The Minkowski dimension of boundary singular points in the Navier--Stokes equations
Hi Jun Choe, Minsuk Yang
We study the partial regularity problem of the three-dimensional incompressible Navier--Stokes equations. We present a new boundary regularity criterion for boundary suitable weak…