16 citations · 98 across the 25 of their papers we have counts for
29 papers
Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schrödinger equation
Kihyun Kim, Taegyu Kim, Soonsik Kwon
We consider the Calogero--Moser derivative nonlinear Schrödinger equation (CM-DNLS), which is an -critical nonlinear Schrödinger equation with explicit solitons, self-dualit…
The modified scattering of 2 dimensional semi-relativistic Hartree equations
Soonsik Kwon, Kiyeon Lee, Changhun Yang
In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is convolved with the Coulomb…
The modified scattering for Dirac equations of scattering-critical nonlinearity
Yonggeun Cho, Soonsik Kwon, Kiyeon Lee +1
In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic field. We prove the global well-posedness and modified scattering for small solutions in the…
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…
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…