Kyudong Choi

activity

20112025

most citedFinite time blow up for a 1D model of 2D Boussinesq system

50 citations · 112 across the 28 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

4 papers · 2 filters

math.AP2022

Axi-symmetric solutions for active vector models generalizing 3D Euler and electron--MHD equations

Dongho Chae, Kyudong Choi, In-Jee Jeong

We study systems interpolating between the 3D incompressible Euler and electron--MHD equations, given by \begin{equation*} \partial_t B + V \cdot \nabla B = B\cdot \nabla V, \qquad…

math.AP2022

Global regularity for some axisymmetric Euler flows in $R^{d}$

Kyudong Choi, In-Jee Jeong, Deokwoo Lim

We consider axisymmetric Euler flows without swirl in $R^{d}$ with $d \geq 4$ , for which the global regularity of smooth solutions is an open problem. When $d = 4$ , we obta…

math.AP2022

Stability and instability of Kelvin waves

Kyudong Choi, In-Jee Jeong

The $m$ -waves of Kelvin are uniformly rotating patch solutions of the 2D Euler equations with $m$ -fold rotational symmetry for $m \geq 2$ . For Kelvin waves sufficiently close to the…

math.AP2022★ 4 cited

Stability of monotone, non-negative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches

Kyudong Choi, In-Jee Jeong, Deokwoo Lim

We consider the incompressible Euler equations in the half cylinder $R_{> 0} \times T$ . In this domain, any vorticity which is independent of $x_{2}$ defines a statio…

Axi-symmetric solutions for active vector models generalizing 3D Euler and electron--MHD equations

Global regularity for some axisymmetric Euler flows in Rd

Stability and instability of Kelvin waves

Stability of monotone, non-negative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches

Global regularity for some axisymmetric Euler flows in $R^{d}$