24 citations · 64 across the 20 of their papers we have counts for
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On the nonexistence of stationary weak solutions to the compressible fluid equations
Dongho Chae
In this paper we prove that under some integrability conditions for the density and the velocity fields the only stationary weak solutions to the compressible fluid equations on $\…
Liouville type of theorems for the Euler and the Navier-Stokes equations
Dongho Chae
We prove Liouville type of theorems for weak solutions of the Navier-Stokes and the Euler equations. In particular, if the pressure satisfies with…
On the behaviors of solution near possible blow-up time in the incompressible Euler and related equations
Dongho Chae
We study behaviors of scalar quantities near the possible blow-up time, which is made of smooth solutions of the Euler equations, Navier-Stokes equations and the surface quasi-geos…
The finite time blow-up for the Euler-Poisson equations in
Dongho Chae
We prove the finite time blow-up for solutions to the Euler-Poisson equations in , , with/without background density for initial data satisfying suitable c…
On the blow-up problem for the axisymmetric 3D Euler equations
Dongho Chae
In this paper we study the finite time blow-up problem for the axisymmetric 3D incompressible Euler equations with swirl. The evolution equations for the deformation tensor and the…