195 citations · 494 across the 56 of their papers we have counts for
9 papers · 2 filters
Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces
Young-Pil Choi, Oliver Tse
We establish a quantitfied overdamped limit for kinetic Vlasov-Fokker-Planck equations with nonlocal interaction forces. We provide explicit bounds on the error between solutions o…
On well-posedness and singularity formation for the Euler-Riesz system
Young-Pil Choi, In-Jee Jeong
In this paper, we investigate the initial value problem for the Euler-Riesz system, where the interaction forcing is given by for some , with cor…
On the Cauchy problem for the pressureless Euler-Navier-Stokes system in the whole space
Young-Pil Choi, Jinwook Jung
In this paper, we study the global Cauchy problem for a two-phase fluid model consisting of the pressureless Euler equations and the incompressible Navier-Stokes equations where th…
On the dynamics of charged particles in an incompressible flow: from kinetic-fluid to fluid-fluid models
Young-Pil Choi, Jinwook Jung
In this paper, we are interested in the dynamics of charged particles interacting with the incompressible viscous flow. More precisely, we consider the Vlasov-Poisson or Vlasov-Poi…
Mean-field limits: from particle descriptions to macroscopic equations
José A. Carrillo, Young-Pil Choi
We rigorously derive pressureless Euler-type equations with nonlocal dissipative terms in velocity and aggregation equations with nonlocal velocity fields from Newton-type particle…
Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow
Young-Pil Choi, Kyungkeun Kang, Hwa Kil Kim +1
We are concerned with large-time behaviors of solutions for Vlasov--Navier--Stokes equations in two dimensions and Vlasov-Stokes system in three dimensions including the effect of…
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
José A. Carrillo, Young-Pil Choi, Jinwook Jung
In this paper, we quantify the asymptotic limit of collective behavior kinetic equations arising in mathematical biology modeled by Vlasov-type equations with nonlocal interaction…
One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity
Young-Pil Choi, Xiongtao Zhang
We analyze the one dimensional Cucker-Smale (in short CS) model with a weak singular communication weight with . We first establish a global-in-time e…
Large friction limit of pressureless Euler equations with nonlocal forces
Young-Pil Choi
We rigorously show a large friction limit of hydrodynamic models with alignment, attractive, and repulsive effects. More precisely, we consider pressureless Euler equations with no…