From the 1 of 8 linked papers with an AI index.
8 papers
Conditional hypocoercivity for nonlinear kinetic Fokker--Planck equations
Jose A. Carrillo, Dowan Koo, Sihyun Song
The paper studies how solutions of nonlinear kinetic Fokker–Planck equations with porous‑medium diffusion approach equilibrium over time, proving exponential convergence in L¹ unde…
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 e…
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…
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…