quantum kinetic theory 2entropy dissipation 1fermionic Pauli bound 1fokker-planck equation 1Fokker-Planck equations 1global existence 1hydrodynamic limit 1incompressible flow 1navier-stokes 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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…