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math.AP2021
The Compressible Euler and Acoustic Limits from quantum Boltzmann Equation with Fermi-Dirac Statistics
Ning Jiang, Kai Zhou
This paper justifies the compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics (briefly, BFD) rigorously. This limit was formally deriv…
math.AP2021★ 2 cited
The Incompressible Navier-Stokes-Fourier Limit from Boltzmann-Fermi-Dirac Equation
Ning Jiang, Linjie Xiong, Kai Zhou
We study Boltzmann-Fermi-Dirac equation when quantum effects are taken into account in dilute gas dynamics. By employing new estimates on trilinear terms of collision kernels, we p…