50 citations · 112 across the 28 of their papers we have counts for
29 papers
Vortex atmospheres of traveling vortices: rigorous definition, existence, and topological classification
Kyudong Choi, In-Jee Jeong, Young-Jin Sim
In incompressible and inviscid fluids, the vortex atmosphere refers to the collection of fluid particles outside the support of a traveling vortex that are nevertheless carried alo…
Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
Ken Abe, Kyudong Choi, In-Jee Jeong
In this paper, we consider the stability of the Lamb dipole solution of the two-dimensional Euler equations in and question under which initial disturbance the Lam…
Existence and stability of Sadovskii vortices: from patch to smooth vortices
Ken Abe, Kyudong Choi, In-Jee Jeong +2
We establish a scaling-invariant variational framework for steadily translating dipoles of the two-dimensional incompressible Euler equations. Specifically, we consider the maximiz…
Stability of vortex quadrupoles with odd-odd symmetry
Kyudong Choi, In-Jee Jeong, Yao Yao
For the 2D incompressible Euler equations, we establish global-in-time () stability of vortex quadrupoles satisfying odd symmetry with respect to both axes. Speci…
On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortex
Kyudong Choi, In-Jee Jeong, Young-Jin Sim
The Sadovskii vortex patch is a traveling wave for the two-dimensional incompressible Euler equations consisting of an odd symmetric pair of vortex patches touching the symmetry ax…
On global regularity of some bi-rotational Euler flows in
Kyudong Choi, In-Jee Jeong, Deokwoo Lim
In this paper, we consider incompressible Euler flows in under bi-rotational symmetry, namely solutions that are invariant under rotations in fi…
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…
Global regularity for some axisymmetric Euler flows in
Kyudong Choi, In-Jee Jeong, Deokwoo Lim
We consider axisymmetric Euler flows without swirl in with , for which the global regularity of smooth solutions is an open problem. When , we obta…
Stability and instability of Kelvin waves
Kyudong Choi, In-Jee Jeong
The -waves of Kelvin are uniformly rotating patch solutions of the 2D Euler equations with -fold rotational symmetry for . For Kelvin waves sufficiently close to the…
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 . In this domain, any vorticity which is independent of defines a statio…
On vortex stretching for anti-parallel axisymmetric flows
Kyudong Choi, In-Jee Jeong
We consider axisymmetric incompressible inviscid flows without swirl in , under the assumption that the axial vorticity is non-positive in the upper half space and od…
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
Kyudong Choi, In-Jee Jeong
We prove linear in time filamentation for perturbations of the Lamb dipole, which is a traveling wave solution to the incompressible Euler equations in . The main ing…
Filamentation near Hill's vortex
Kyudong Choi, In-Jee Jeong
For the axisymmetric incompressible Euler equations, we prove linear in time filamentation near Hill's vortex: there exists an arbitrary small outward perturbation growing linearly…
Stability of radially symmetric, monotone vorticities of 2D Euler equations
Kyudong Choi, Deokwoo Lim
We consider the incompressible Euler equations in when the initial vorticity is bounded, radially symmetric and non-increasing in the radial direction. Such a radial distribu…
Stability of Hill's spherical vortex
Kyudong Choi
We study stability of a spherical vortex introduced by M. Hill in 1894, which is an explicit solution of the three-dimensional incompressible Euler equations. The flow is axi-symme…
Growth of perimeter for vortex patches in a bulk
Kyudong Choi, In-Jee Jeong
We consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on and whose perimeter grows with time. More precisely,…
On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations
Kyudong Choi, In-Jee Jeong
We consider vortex patch solutions of the incompressible Euler equations in the plane. It is shown that the winding number around the origin for most particles in the patch grows l…
Stability of Lamb dipoles
Ken Abe, Kyudong Choi
The Lamb dipole is a traveling wave solution to the two-dimensional Euler equations introduced by S. A. Chaplygin (1903) and H. Lamb (1906) at the early 20th century. We prove orbi…
Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model
Kyudong Choi, Moon-Jin Kang, Alexis Vasseur
We consider a one-dimensional system arising from a chemotaxis model in tumour angiogenesis, which is described by a Keller-Segel equation with singular sensitivity. This hyperboli…
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model
Kyudong Choi, Moon-Jin Kang, Young-Sam Kwon +1
We consider a hyperbolic-parabolic system arising from a chemotaxis model in angiogenesis, which is described by a Keller-Segel equation with singular sensitivity. It is known to a…
On the estimate of distance traveled by a particle in a disk-like vortex patch
Kyudong Choi
We consider the incompressible two-dimensional Euler equation in the plane in the case when its initial vorticity is the characteristic function of a bounded open set. We show that…
Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion
Myeongju Chae, Kyudong Choi
We consider a simplified chemotaxis model of tumor angiogenesis, described by a Keller-Segel system on the two dimensional infinite cylindrical domain $(x, y) \in \mathbb{R} \times…
On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder
Kyudong Choi, Sergey Denisov
We consider the incompressible 2D Euler equation in an infinite cylinder in the case when the initial vorticity is non-negative, bounded, and compactl…
Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain
Myeongju Chae, Kyudong Choi, Kyungkeun Kang +1
A simplified model of the tumor angiogenesis can be described by a Keller-Segel equation \cite{FrTe,Le,Pe}. The stability of traveling waves for the one dimensional system has rece…