7 research outputs found
Quantitative global well-posedness of Boltzmann-Bose-Einstein equation and incompressible Navier-Stokes-Fourier limit
In the diffusive scaling and in the whole space, we prove the global
well-posedness of the scaled Boltzmann-Bose-Einstein (briefly, BBE) equation
with high temperature in the low regularity space . In particular, we
quantify the fluctuation around the Bose-Einstein equilibrium
with respect to the parameters and
temperature . Furthermore, the estimate for the diffusively scaled BBE
equation is uniform to the Knudsen number . As a consequence, we
rigorously justify the hydrodynamic limit to the incompressible
Navier-Stokes-Fourier equations. This is the first rigorous fluid limit result
for BBE.Comment: 42 page