From the 2 of 4 linked papers with an AI index.
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Incompressible Navier-Stokes-Fourier limit from a nonlinear quantum Fokker-Planck equation
Young-Pil Choi, Byung-Hoon Hwang, Ju-Hwan Hyun
The paper derives the incompressible Navier-Stokes-Fourier equations as a hydrodynamic limit of a nonlinear quantum Fokker-Planck equation with Bose-Einstein or Fermi-Dirac statist…
Nonlinear quantum Fokker-Planck equation near equilibrium
Young-Pil Choi, Byung-Hoon Hwang, Ju-Hwan Hyun
The paper analyzes a nonlinear quantum Fokker‑Planck equation with self‑consistent collision frequency, bulk velocity, and temperature, proving global existence and uniqueness of s…
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…