Deokwoo Lim

activity

20212026

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

4 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing math.APShow all

8 papers · 1 filter

math.AP2026

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl

Khakim Egamberganov, Deokwoo Lim

For $d \geq 4$ , we consider incompressible Euler flows in $R^{d}$ with bi-rotational symmetry and without swirl. Our first result gives the local wellposedness of the Yudov…

math.AP2025

Support growth of vorticity for bi-rotational Euler flows in high dimensions

In-Jee Jeong, Deokwoo Lim

We study incompressible Euler equations in $R^{d}$ with $d \geq 4$ under bi-rotational symmetry without swirl, which reduces the Euler equations to a scalar vorticity advecti…

math.AP2024

On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl

Deokwoo Lim, In-Jee Jeong

For axisymmetric flows without swirl and compactly supported initial vorticity, we prove the upper bound of $t^{4/3}$ for the growth of the vorticity maximum, which was conjectured…

math.AP2024

On global regularity of some bi-rotational Euler flows in $R^{4}$

Kyudong Choi, In-Jee Jeong, Deokwoo Lim

In this paper, we consider incompressible Euler flows in $R^{4}$ under bi-rotational symmetry, namely solutions that are invariant under rotations in $R^{4}$ fi…

math.AP2023

Global regularity of some axisymmetric, single-signed vorticity in any dimension

Deokwoo Lim

We consider incompressible Euler equations in any dimension $d \geq 3$ imposing axisymmetric symmetry without swirl. While the global regularity of smooth flows in this setting has…

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★ 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…

math.AP2021

Stability of radially symmetric, monotone vorticities of 2D Euler equations

Kyudong Choi, Deokwoo Lim

We consider the incompressible Euler equations in $R^{2}$ when the initial vorticity is bounded, radially symmetric and non-increasing in the radial direction. Such a radial distribu…

On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl

Support growth of vorticity for bi-rotational Euler flows in high dimensions

On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl

On global regularity of some bi-rotational Euler flows in R4

Global regularity of some axisymmetric, single-signed vorticity in any dimension

Global regularity for some axisymmetric Euler flows in Rd

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

Stability of radially symmetric, monotone vorticities of 2D Euler equations

On global regularity of some bi-rotational Euler flows in $R^{4}$

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