1 citations · 1 across the 9 of their papers we have counts for
10 papers
Global mild solutions and the semiclassical limit for the Fermi--Dirac BGK model
Young-Pil Choi, Byung-Hoon Hwang, Sihyun Song
We prove global existence of mild solutions to the spatially inhomogeneous Fermi--Dirac BGK equation for arbitrary-size Pauli-admissible initial data with finite mass and kinetic e…
Conditional hypocoercivity for nonlinear kinetic Fokker--Planck equations
Jose A. Carrillo, Dowan Koo, Sihyun Song
We investigate the long-time behaviour of nonlinear kinetic Fokker--Planck equations with porous medium diffusion in a non-perturbative setting. Under a priori conditional bounds o…
Weakly inhomogeneous solutions to a nonlinear Vlasov--Fokker--Planck equation in a domain
Sihyun Song
A nonlinear Vlasov--Fokker--Planck equation is considered in a bounded domain, with specular reflection imposed on the boundary. It is proven that if the initial datum is sufficien…
A modified Consensus-Based Optimization model: consensus formation and uniform-in-time propagation of chaos
Young-Pil Choi, Seungchan Lee, Sihyun Song
We introduce a modified Consensus-Based Optimization model that admits a fully unified and rigorous analysis of its finite-particle dynamics, the associated McKean--Vlasov equation…
Global weak solutions to nonlinear kinetic Fokker--Planck equations in bounded domains under physical initial data
Young-Pil Choi, Sihyun Song
We establish the global existence of weak solutions to a nonlinear kinetic Fokker--Planck equation with degenerate diffusion, under either inflow or partial absorption-reflection b…
Hydrodynamic limit from kinetic models with massless electrons to the ionic Euler--Poisson system
Young-Pil Choi, Dowan Koo, Sihyun Song
We study the derivation of ion dynamics, namely, the ionic Euler--Poisson system, from kinetic descriptions. The kinetic framework consists of the ionic Vlasov--Poisson equation co…