8 citations · 25 across the 9 of their papers we have counts for
9 papers
Sharp universal rate for stable blow-up of corotational wave maps
Kihyun Kim
We consider the energy-critical (corotational) 1-equivariant wave maps into the two-sphere. By the seminal work [53] of Raphaël and Rodnianski, there is an open set of initial data…
Soliton resolution for equivariant self-dual Chern-Simons-Schrödinger equation in weighted Sobolev class
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We consider the self-dual Chern-Simons-Schrödinger equation (CSS) under equivariant symmetry, which is a -critical equation. It is known that (CSS) admits solitons and finit…
Distributional robustness in minimax linear quadratic control with Wasserstein distance
Kihyun Kim, Insoon Yang
To address the issue of inaccurate distributions in practical stochastic systems, a minimax linear-quadratic control method is proposed using the Wasserstein metric. Our method aim…
Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We consider the finite-time blow-up dynamics of solutions to the self-dual Chern-Simons-Schrödinger (CSS) equation (also referred to as the Jackiw-Pi model) near the radial soliton…
Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation
Kihyun Kim, Soonsik Kwon
We consider the self-dual Chern-Simons-Schrödinger equation (CSS) under equivariance symmetry. Among others, (CSS) has a static solution and pseudoconformal symmetry. We study…
Low regularity well-posedness for generalized Benjamin-Ono equations on the circle
Kihyun Kim, Robert Schippa
New low regularity well-posedness results for the generalized Benjamin-Ono equations with quartic or higher nonlinearity and periodic boundary conditions are shown. We use the shor…
Minimax control of ambiguous linear stochastic systems using the Wasserstein metric
Kihyun Kim, Insoon Yang
In this paper, we propose a minimax linear-quadratic control method to address the issue of inaccurate distribution information in practical stochastic systems. To construct a cont…
On pseudoconformal blow-up solutions to the self-dual Chern-Simons-Schrödinger equation: existence, uniqueness, and instability
Kihyun Kim, Soonsik Kwon
We consider the self-dual Chern-Simons-Schrödinger equation (CSS). CSS is -critical, admits solitons, and has the pseudoconformal symmetry. In this work, we consider pseudoc…
Scattering for Defocusing generalized Benjamin-Ono Equation in the Energy Space
Kihyun Kim, Soonsik Kwon
We prove the scattering for the defocusing generalized Benjamin-Ono equation in the energy space . We first establish the monotonicity formula that des…