10 citations · 20 across the 25 of their papers we have counts for
33 papers · 1 filter
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…
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…
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…