8 papers
Global mild solutions and the semiclassical limit for the Fermi--Dirac BGK model
Young-Pil Choi, Byung-Hoon Hwang, Sihyun Song
We prove global existence of mild solutions to the spatially inhomogeneous Fermi--Dirac BGK equation for arbitrary-size Pauli-admissible initial data with finite mass and kinetic e…
Finite-energy weak solutions and relaxation for a compressible kinetic--fluid system with locally averaged Brinkman force
Young-Pil Choi, Roman Shvydkoy
We study a kinetic--fluid system in which a Vlasov or Vlasov--Fokker--Planck equation is coupled to the compressible Navier--Stokes equations with density-dependent viscosities thr…
Incompressible Navier-Stokes-Fourier limit from a nonlinear quantum Fokker-Planck equation
Young-Pil Choi, Byung-Hoon Hwang, Ju-Hwan Hyun
We derive the incompressible Navier-Stokes-Fourier limit from a nonlinear quantum Fokker-Planck equation with Bose-Einstein or Fermi-Dirac statistics. The model has a self-consiste…
Nonlinear quantum Fokker-Planck equation near equilibrium
Young-Pil Choi, Byung-Hoon Hwang, Ju-Hwan Hyun
We investigate a nonlinear quantum Fokker--Planck equation with self-consistent collision frequency, bulk velocity, and temperature. In contrast to quantum Fokker--Planck equations…
From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation
Seung Yeon Cho, Young-Pil Choi, Byung-Hoon Hwang +1
We propose a BGK-type kinetic model for a binary gas mixture, designed to serve as a kinetic formulation of compressible two-phase fluid dynamics. The model features species-depend…
Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation
Young-Pil Choi, Byung-Hoon Hwang, Yeongseok Yoo
In this paper, we study the nonlinear Vlasov-Fokker-Planck equation with fixed collision frequency. We establish the global-in-time existence of weak solutions to the equation with…
From BGK-alignment model to the pressured Euler-alignment system with singular communication weights
Young-Pil Choi, Byung-Hoon Hwang
This paper is devoted to a rigorous derivation of the isentropic Euler-alignment system with singular communication weights for some . We consider a kinet…
On the analysis of a coupled kinetic-fluid model with local alignment forces
J. A. Carrillo, Y. -P. Choi, T. K. Karper
This paper studies global existence, hydrodynamic limit, and large-time behavior of weak solutions to a kinetic flocking model coupled to the incompressible Navier-Stokes equations…