3 papers
math.AP2026
Modified scattering for the Vlasov-Riesz system with long-range interactions
Younghun Hong, Stephen Pankavich
We study the long-time asymptotic behavior of small-data solutions to the three-dimensional Vlasov--Riesz system with the inverse power-law potential in the strictly…
math.AP2025
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…
math.AP2025
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…