1 citations · 1 across the 3 of their papers we have counts for
6 papers · 1 filter
Korteweg--de Vries limit for the Fermi--Pasta--Ulam system
Younghun Hong, Chulkwang Kwak, Changhun Yang
In this paper, we develop dispersive PDE techniques for the Fermi--Pasta--Ulam (FPU) system with infinitely many oscillators, and we show that general solutions to the infinite FPU…
Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations
Younghun Hong, Chulkwang Kwak, Shohei Nakamura +1
A nonlinear Schrödinger equation (NLS) on a periodic box can be discretized as a discrete nonlinear Schrödinger equation (DNLS) on a periodic cubic lattice, which is a system of fi…
Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit
Younghun Hong, Changhun Yang
We consider discrete nonlinear Schrödinger equations (DNLS) on the lattice whose linear part is determined by the discrete Laplacian which accounts only for nearest…
Uniform Strichartz estimates on the lattice
Younghun Hong, Changhun Yang
In this paper, we investigate Strichartz estimates for discrete linear Schrödinger and discrete linear Klein-Gordon equations on a lattice with , where is…
Small data scattering of semirelativistic Hartree equation
Changhun Yang
In this paper we study the small data scattering of Hartree type semirelativistic equation in space dimension . The Hartree type nonlinearity is and the potential…
On the modified scattering of -d Hartree type fractional Schrödinger equations with Coulomb potential
Yonggeun Cho, Gyeongha Hwang, Changhun Yang
In this paper we study 3-d Hartree type fractional Schrödin-ger equations: \begin{equation} i\partial_{t}u-|\nabla|^αu = λ\left(|x|^{-γ} *| u|^{2} \right)u,\;\;1 < α< 2,\;\;0 < γ<…