1 citations · 1 across the 7 of their papers we have counts for
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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…
Large-time behavior of pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We study the large-time asymptotic behavior of solutions to the one-dimensional damped pressureless Euler-Poisson system with variable background states, subject to a neutrality co…
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…