4 papers
A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation
Yanzhi Gui, Ling-Bing He, Liu Liu
This work presents a novel Fourier spectral method for the cutoff spatially homogeneous Boltzmann equation with Maxwellian and hard potentials. We establish finite-time error estim…
Global stability and scattering theory for non-cutoff Boltzmann equation with soft potentials in the whole space: weak collision regime}
Ling-Bing He, Wu-Wei Li
A Traveling Maxwellian represents a traveling wave solution to the Boltzmann equation in the whole space (for the spatial variable). Th…
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…
Solutions to the non-cutoff Boltzmann equation in the grazing limit
Duan Renjun, He Ling-Bing, Yang Tong +1
It is known that in the parameters range spectral gap does not exist for the linearized Boltzmann operator without cutoff but it does for the linearized Landau oper…