5 citations · 13 across the 6 of their papers we have counts for
6 papers
On the Korteweg-de Vries limit for the Boussinesq equation
Younghun Hong, Changhun Yang
The Korteweg-de Vries (KdV) equation is known as a universal equation describing various long waves in dispersive systems. In this article, we prove that in a certain scaling regim…
Semiclassical equivalence of two white dwarf models as ground states of the relativistic Hartree-Fock and Vlasov-Poisson energies
Younghun Hong, Sangdon Jin, Jinmyoung Seok
We are concerned with the semi-classical limit for ground states of the relativistic Hartree-Fock energies (HF) under a mass constraint, which are considered as the quantum mean-fi…
On the NLS approximation for the nonlinear Klein-Gordon equation
Seokchang Hong, Younghun Hong
In this paper, developing a new approach based on Fourier analysis methods for dispersive PDEs, we establish a low regularity NLS approximation for the one-dimensional cubic Klein-…
Optimal convergence rate of nonrelativistic limit for the nonlinear pseudo-relativistic equations
Woocheol Choi, Younghun Hong, Jinmyoung Seok
In this paper, we are concerned with the nonrelativistic limit of the following pseudo-relativistic equation with Hartree nonlinearity or power type nonlinearity \[ \left(\sqrt{-\h…
On Fractional Schrodinger Equations in sobolev spaces
Younghun Hong, Yannick Sire
Let with . We investigate the fractional nonlinear Schrödinger equation in : w…
Uniqueness of solutions to the 3D quintic Gross-Pitaevskii Hierarchy
Younghun Hong, Kenneth Taliaferro, Zhihui Xie
In this paper, we study solutions to the three-dimensional quintic Gross-Pitaevskii hierarchy. We prove unconditional uniqueness among all small solutions in the critical space $\m…