3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2026
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…