7 papers
Finite-time breakdown of the Euler-alignment system for supercritical initial data
Young-Pil Choi, Eitan Tadmor
We study finite-time breakdown of classical solutions to the Euler-alignment system through the degeneration of the associated Lagrangian flow. This approach allows us to character…
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…
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…