105 citations · 793 across the 84 of their papers we have counts for
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The global regularity for the 3D continuously stratified inviscid quasi-geostrophic equations
Dongho Chae
We prove the global well-posedness of the continuously stratified inviscid quasi-geostrophic equations in .
Remarks on a Liouville-type theorem for Beltrami flows
Dongho Chae, Peter Constantin
We present a simple, short and elementary proof that if is a Beltrami flow with a finite energy in then . In the case of the Beltrami flows satisfying $v\in…
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
Dongho Chae, Renhui Wan, Jiahong Wu
The Hall-magnetohydrodynamics (Hall-MHD) equations, rigorously derived from kinetic models, are useful in describing many physical phenomena in geophysics and astrophysics. This pa…
Remark on Luo-Hou's ansatz for a self-similar solution to the 3D Euler equations
Dongho Chae, Tai-Peng Tsai
In this note we show that Luo-Hou's ansatz for the self-similar solution to the axisymmetric solution to the 3D Euler equations leads to triviality of the solution under suitable d…
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Dongho Chae, Peter Constantin, Jiahong Wu
We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can pr…