10 citations · 20 across the 25 of their papers we have counts for
42 papers
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…
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…
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…