2 papers
math.AP2025
The non-relativistic limit of scattering states for the Vlasov equation with short-range interaction potentials
Younghun Hong, Stephen Pankavich
We study the relativistic and non-relativistic Vlasov equation driven by short-range interaction potentials and identify the large time dynamics of solutions. In particular, we con…
math.AP2025
Semi-classical limit of quantum scattering states for the nonlinear Hartree equation
Sonae Hadama, Younghun Hong
This article concerns the long-time dynamics of quantum particles in the semi-classical regime. First, we show that for the nonlinear Hartree equation with short-range interaction…