50 citations · 112 across the 28 of their papers we have counts for
5 papers · 2 filters
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…