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 CBO model based on a regularized Gibbs weight. For each fixed temperature and regularization parameter, the regularized weight yields a configuration-indepe…
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…
Micro-macro and macro-macro limits for controlled leader-follower systems
Giacomo Albi, Young-Pil Choi, Matteo Piu +1
We study a leader-follower system of interacting particles subject to feedback control and derive its mean-field limits through a two-step passage: first to a micro-macro system co…
From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation
Seung Yeon Cho, Young-Pil Choi, Byung-Hoon Hwang +1
We propose a BGK-type kinetic model for a binary gas mixture, designed to serve as a kinetic formulation of compressible two-phase fluid dynamics. The model features species-depend…
Global existence of Lagrangian solutions to the ionic Vlasov--Poisson system
Young-Pil Choi, Dowan Koo, Sihyun Song
In this paper, we study the Cauchy problem of the ionic Vlasov--Poisson (IVP) system for a broad class of initial data. To this end, we establish well-posedness and stability estim…
Global Mild Solutions to a BGK Model for Barotropic Gas Dynamics
Dowan Koo, Sihyun Song
We establish global existence of mild solutions to the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] under the minimal assumption of finite kinetic entropy i…