12 citations · 24 across the 15 of their papers we have counts for
15 papers
Optimal control of diffusive mean-field models for swarming particles on the sphere
Jinwook Jung, Dohyun Kim
We study a mean-field optimal control problem for a consensus (high-dimensional Kuramoto-type) dynamics with diffusion on the unit sphere. The control acts through a prescribed dri…
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…
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…
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…
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…
Global-in-time dynamics of the two--phase fluid model in a bounded domain
Jinwook Jung
In this work, we study the global existence of strong solutions and large-time behavior of a two-phase fluid model in a bounded domain. The model consists of the isothermal Euler e…
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…
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…
Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies
Jiu-Gang Dong, Seung-Yeal Ha, Jinwook Jung +1
We study emergent dynamics of the discrete Cucker-Smale (in short, DCS) model with randomly switching network topologies. For this, we provide a sufficient framework leading to the…
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…
On the stochastic flocking of the Cucker-Smale flock with randomly switching topologies
Jiu-Gang Dong, Seung-Yeal Ha, Jinwook Jung +1
We present an emergent stochastic flocking dynamics of the Cucker-Smale (CS) ensemble under randomly switching topologies. The evolution of the CS ensemble with randomly switching…
Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications
Seung-Yeal Ha, Jinwook Jung, Michael Röckner
We present collective dynamics of the Cucker-Smale (C-S) ensemble under random communications. As an effective modeling of the C-S ensemble, we introduce a stochastic kinetic C-S e…
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…