4 papers
On semi-classical limit of spatially homogeneous quantum Boltzmann equation: asymptotic expansion
Ling-Bing He, Xuguang Lu, Mario Pulvirenti +1
We continue our previous work [Ling-Bing He, Xuguang Lu and Mario Pulvirenti, Comm. Math. Phys., 386(2021), no. 1, 143223.] on the limit of the spatially homogeneous quantum Boltzm…
A new understanding of grazing limit
Tong Yang, Yu-Long Zhou
The grazing limit of the Boltzmann equation to Landau equation is well-known and has been justified by using cutoff near the grazing angle with some suitable scaling. In this paper…
Quantitative global well-posedness of Boltzmann-Bose-Einstein equation and incompressible Navier-Stokes-Fourier limit
Ling-Bing He, Ning Jiang, Yu-long Zhou
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 r…
High order approximation for the Boltzmann equation without angular cutoff
Ling-Bing He, Yulong Zhou
In order to solve the Boltzmann equation numerically, in the present work, we propose a new model equation to approximate the Boltzmann equation without angular cutoff. Here the ap…