1 citations · 3 across the 10 of their papers we have counts for
12 papers
Stable cusp formation for the Novikov equation
Yunjoo Kim, Dowan Koo, Bongsuk Kwon +1
We establish stable cusp formation for the Novikov equation, a cubically nonlinear Camassa--Holm-type equation. We identify an open set of smooth initial data for which the first g…
Conditional hypocoercivity for nonlinear kinetic Fokker--Planck equations
Jose A. Carrillo, Dowan Koo, Sihyun Song
We investigate the long-time behaviour of nonlinear kinetic Fokker--Planck equations with porous medium diffusion in a non-perturbative setting. Under a priori conditional bounds o…
Hydrodynamic limit from nonlinear Fokker--Planck to barotropic Euler equations
José A. Carrillo, Dowan Koo
The hydrodynamic limit to the barotropic Euler equations, including power-law pressure , for a kinetic nonlinear Fokker--Planck equation with degenerate diffusion is esta…
Exponential and algebraic decay in Euler--alignment system with nonlocal interaction forces
José A. Carrillo, Young-Pil Choi, Dowan Koo +1
We investigate the large-time behavior of the pressureless Euler system with nonlocal velocity alignment and interaction forces, with the aim of characterizing the asymptotic conve…
Hydrodynamic limit from kinetic models with massless electrons to the ionic Euler--Poisson system
Young-Pil Choi, Dowan Koo, Sihyun Song
We study the derivation of ion dynamics, namely, the ionic Euler--Poisson system, from kinetic descriptions. The kinetic framework consists of the ionic Vlasov--Poisson equation co…
Large-time behavior of pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We study the large-time asymptotic behavior of solutions to the one-dimensional damped pressureless Euler-Poisson system with variable background states, subject to a neutrality co…
Global existence of Lagrangian solutions to the ionic Vlasov--Poisson system
Young-Pil Choi, Dowan Koo, Sihyun Song
In this paper, we study the Cauchy problem of the ionic Vlasov--Poisson (IVP) system for a broad class of initial data. To this end, we establish well-posedness and stability estim…
Global Mild Solutions to a BGK Model for Barotropic Gas Dynamics
Dowan Koo, Sihyun Song
We establish global existence of mild solutions to the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] under the minimal assumption of finite kinetic entropy i…
Critical thresholds in pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We investigate the critical threshold phenomena in a large class of one dimensional pressureless Euler--Poisson (EP) equations, with non-vanishing background states. First, we esta…
A gradient flow for the porous medium equations with Dirichlet boundary conditions
Dongkwang Kim, Dowan Koo, Geuntaek Seo
We consider the gradient flow structure of the porous medium equations with non-negative constant Dirichlet boundary conditions. We construct weak solutions to the equations via th…
A novel approach for wafer defect pattern classification based on topological data analysis
Seungchan Ko, Dowan Koo
In semiconductor manufacturing, wafer map defect pattern provides critical information for facility maintenance and yield management, so the classification of defect patterns is on…
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…