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math.AP2024
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…
math.AP2023★ 1 cited
The modified scattering of 2 dimensional semi-relativistic Hartree equations
Soonsik Kwon, Kiyeon Lee, Changhun Yang
In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is convolved with the Coulomb…
math.AP2022
The modified scattering for Dirac equations of scattering-critical nonlinearity
Yonggeun Cho, Soonsik Kwon, Kiyeon Lee +1
In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic field. We prove the global well-posedness and modified scattering for small solutions in the…