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math.AP2017★ 1 cited
Blow up criteria for the compressible Navier--Stokes equations
Hi Jun Choe, Minsuk Yang
We study the strong solution to the 3-D compressible Navier--Stokes equations. We propose a new blow up criterion for barotropic gases in terms of the integral norm of density …
math.AP2017★ 1 cited
Local kinetic energy and singularities of the incompressible Navier--Stokes Equations
Hi Jun Choe, Minsuk Yang
We study the partial regularity problem of the incompressible Navier--Stokes equations. In this paper, we show that a reverse Hölder inequality of velocity gradient with increasing…