5 papers · 1 filter
Long-range scattering for 2D Dirac-Hartree equations
Kiyeon Lee, Changhun Yang
We investigate the long-time behavior of small solutions to the Dirac-Hartree equation in two spatial dimensions. This model describes the mean-field dynamics of relativistic fermi…
On the dispersive estimates for the discrete Schrödinger equation on a honeycomb lattice
Younghun Hong, Yukihide Tadano, Changhun Yang
The discrete Schrödinger equation on a two-dimensional honeycomb lattice is a fundamental tight-binding approximation model that describes the propagation of waves on graphene. Fo…
Periodic FPU system: Continuum limit to KdV via regularization and Fourier analysis
Chulkwang Kwak, Changhun Yang
The Fermi-Pasta-Ulam (FPU) system, initially introduced by Fermi for numerical simulations, models vibrating chains with fixed endpoints, where particles interact weakly, nonlinear…
On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation
Younghun Hong, Junyeong Jang, Changhun Yang
The Benjamin-Bona-Mahony equation (BBM) is introduced as a regularization of the Korteweg-de Vries equation (KdV) for long water waves \cite{BBM1972}. In this paper, we establish t…
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…