195 citations · 494 across the 56 of their papers we have counts for
10 papers · 1 filter
Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain
Young-Pil Choi, Jinwook Jung
We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More precisely, we deal with the nonlinear Vlasov-Fokker-Planck equation coupled with the compre…
Existence and hydrodynamic limit for a Paveri-Fontana type kinetic traffic model
Young-Pil Choi, Seok-Bae Yun
We study a Paveri-Fontana type model, which describes the evolution of the mesoscopic distribution of vehicles through a combined effect of adjustment of the velocity with respect…
Exponential synchronization of Kuramoto oscillators with time delayed coupling
Young-Pil Choi, Cristina Pignotti
We discuss the asymptotic frequency synchronization for the non-identical Kuramoto oscillators with time delayed interactions. We provide explicit lower bound on the coupling stren…
Strong solutions to the inhomogeneous Navier-Stokes-BGK system
Young-Pil Choi, Jaeseung Lee, Seok-Bae Yun
In this paper, we are concerned with the local-in-time well-posedness of a fluid-kinetic model in which the BGK model with density dependent collision frequency is coupled with the…
Consensus of the Hegselmann-Krause opinion formation model with time delay
Young-Pil Choi, Alessandro Paolucci, Cristina Pignotti
In this paper, we study Hegselmann-Krause models with a time-variable time delay. Under appropriate assumptions, we show the exponential asymptotic consensus when the time delay sa…
A hydrodynamic model for synchronization phenomena
Young-Pil Choi, Jaeseung Lee
We present a new hydrodynamic model for synchronization phenomena which is a type of pressureless Euler system with nonlocal interaction forces. This system can be formally derived…
A sharp error analysis for the discontinuous Galerkin method of optimal control problems
Woocheol Choi, Young-Pil Choi
In this paper, we are concerned with a nonlinear optimal control problem of ordinary differential equations. We consider a discretization of the problem with the discontinuous Gale…
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays
Young-Pil Choi, Cristina Pignotti
We study a Cucker-Smale-type flocking model with distributed time delay where individuals interact with each other through normalized communication weights. Based on a Lyapunov fun…
Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
Young-Pil Choi, Jinwook Jung
We study a hydrodynamic limit of a system of coupled kinetic and fluid equations under a strong local alignment force and a strong Brownian motion. More precisely, we consider the…
Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces
José A. Carrillo, Young-Pil Choi
We study an asymptotic limit of Vlasov type equation with nonlocal interaction forces where the friction terms are dominant. We provide a quantitative estimate of this large fricti…