195 citations · 494 across the 56 of their papers we have counts for
67 papers
Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations
Young-Pil Choi, Byung-Hoon Hwang
We establish the global-in-time existence of weak solutions to a variant of the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] which leads to the barotropic E…
Local well-posedness for the compressible Navier-Stokes-BGK model in Sobolev spaces with exponential weight
Young-Pil Choi, Jinwook Jung
Sprays are complex flows constituted of dispersed particles in an underlying gas. In this paper, we are interested in the equations for moderately thick sprays consisting of the co…
Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system
Young-Pil Choi, In-Jee Jeong
We consider the Vlasov-Manev-Fokker-Planck (VMFP) system in three dimensions, which differs from the Vlasov-Poisson-Fokker-Planck in that it has the gravitational potential of the…
Well-posedness and singularity formation for Vlasov--Riesz system
Young-Pil Choi, In-Jee Jeong
We investigate the Cauchy problem for the Vlasov--Riesz system, which is a Vlasov equation featuring an interaction potential generalizing previously studied cases, including the C…
Modulated energy estimates for singular kernels and their applications to asymptotic analyses for kinetic equations
Young-Pil Choi, Jinwook Jung
In this paper, we provide modulated interaction energy estimates for the kernel with , and its applications to quantified asymptotic analyses for kine…
A revisit to the pressureless Euler--Navier--Stokes system in the whole space and its optimal temporal decay
Young-Pil Choi, Jinwook Jung, Junha Kim
In this paper, we present a refined framework for the global-in-time well-posedness theory for the pressureless Euler--Navier--Stokes system and the optimal temporal decay rates of…
One dimensional consensus based algorithm for non-convex optimization
Young-Pil Choi, Dowan Koo
We analyze the consensus based optimization method proposed by Pinnau et al.(2017) in one dimension. We rigorously provide a quantitative error estimate between the consensus point…
On regular solutions and singularity formation for Vlasov/Navier-Stokes equations with degenerate viscosities and vacuum
Young-Pil Choi, Jinwook Jung
We analyze the Vlasov equation coupled with the compressible Navier--Stokes equations with degenerate viscosities and vacuum. These two equations are coupled through the drag force…
Controlled pattern formation of stochastic Cucker-Smale systems with network structures
Young-Pil Choi, Doeun Oh, Oliver Tse
We present a new stochastic particle system on networks which describes the flocking behavior and pattern formation. More precisely, we consider Cucker-Smale particles with decentr…
The pressureless damped Euler-Riesz equations
Young-Pil Choi, Jinwook Jung
In this paper, we analyze the pressureless damped Euler-Riesz equations posed in either or . We construct the global-in-time existence and uniqueness o…
Large friction-high force fields limit for the nonlinear Vlasov--Poisson--Fokker--Planck system
José A. Carrillo, Young-Pil Choi, Yingping Peng
We provide a quantitative asymptotic analysis for the nonlinear Vlasov--Poisson--Fokker--Planck system with a large linear friction force and high force-fields. The limiting system…
Relaxation to fractional porous medium equation from Euler--Riesz system
Young-Pil Choi, In-Jee Jeong
We perform asymptotic analysis for the Euler--Riesz system posed in either or in the high-force regime and establish a quantified relaxation limit res…
Classical solutions for fractional porous medium flow
Young-Pil Choi, In-Jee Jeong
We consider the fractional porous medium flow introduced by Caffarelli-Vazquez and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof…
Collisionless and Decentralized Formation Control for Strings
Young-Pil Choi, Dante Kalise, Andrés A. Peters
A decentralized feedback controller for multi-agent systems, inspired by vehicle platooning, is proposed. The closed loop resulting from the decentralized control action has three…
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…
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…