5 papers · 1 filter
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…
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…