5 citations · 7 across the 6 of their papers we have counts for
7 papers · 1 filter
On Landau equation with harmonic potential: nonlinear stability of time-periodic Maxwell-Boltzmann distributions
Chuqi Cao, Ling-Bing He, Jie Ji
We provide the first and rigorous confirmations of the hypotheses by Ludwig Boltzmann in his seminal paper \cite{Boltzmann} within the context of the Landau equation in the presenc…
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…
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…
The incompressible limit in type critical spaces
Raphaël Danchin, Lingbing He
This paper aims at justifying the low Mach number convergence to the incompressible Navier-Stokes equations for viscous compressible flows in the ill-prepared data case. The fluid…