7 citations · 14 across the 9 of their papers we have counts for
12 papers
On steady states for the Vlasov-Schrödinger-Poisson system
Younghun Hong, Sangdon Jin
The Vlasov-Schrödinger-Poisson system is a kinetic-quantum hybrid model describing quasi-lower dimensional electron gases. For this system, we construct a large class of 2D kinetic…
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…
Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation
Woocheol Choi, Younghun Hong, Jinmyoung Seok
For the gravitational Vlasov-Poisson equation, Guo and Rein constructed a class of classical isotropic states as minimizers of free energies (or energy-Casimir functionals) under m…
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…