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math.AP2025
The Incompressible Navier-Stokes-Fourier Limits from Boltzmann-Fermi-Dirac Equation for Low Regularity Data
Ning Jiang, Chenchen Wang, Kai Zhou
We consider the hydrodynamic limits of the quantum Boltzmann equation with Fermi-Dirac statistics for hard sphere and hard potentials in the whole space. By analyzing the spectrum…
math.AP2025
The non-isothermal Maxwell-Stefan asymptotics of the multi-species Boltzmann equations
Xinqiu Chen, Ning Jiang, Yi-Long Luo
We study the convergence from the multi-species Boltzmann equations to the non-isothermal Maxwell-Stefan system. The global-in-time well-posedness of the Maxwell-Stefan system is f…
math.AP2025
Uniform convergence to the equilibrium of the homogeneous Boltzmann-Fermi-Dirac Equation with moderately soft potential
Ning Jiang, Chenchen Wang
We concern the long-time behavior of mild solutions to the spatially homogeneous Boltzmann--Fermi--Dirac equation with moderately soft potential. Based on the well-posedness result…