8 citations · 13 across the 10 of their papers we have counts for
11 papers
Optimal Convergence Estimate of the Limit from Inverse Power Potential to Hard Sphere Boltzmann Equation
Zheng-Nan Hu, Jin Woo Jang, Zheng-An Yao +1
The inverse power potential , generates the Boltzmann kernel with an angular singularity as . Jang-Kepka-Nota-Velázquez…
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…
An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff
Tong Yang, Yu-Long Zhou
The quantum Boltzmann-Bose equation describes a large system of Bose-Einstein particles in the weak-coupling regime. If the particle interaction is governed by the inverse power la…
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials
Yu-Long Zhou
We consider the spatially inhomogeneous quantum Boltzmann equation for bosons with a singular collision kernel, the weak-coupling limit of a large system of Bose-Einstein particles…
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…
Boltzmann equation with cutoff Rutherford scattering cross section near Maxwellian
Ling-Bing He, Yu-Long Zhou
The well-known Rutherford differential cross section, denoted by , corresponds to a two body interaction with Coulomb potential. It leads to the logarithmically divergence…
Duality and approximation of stochastic optimal control problems under expectation constraints
Laurent Pfeiffer, Xiaolu Tan, Yulong Zhou
We consider a continuous time stochastic optimal control problem under both equality and inequality constraints on the expectation of some functionals of the controlled process. Un…
Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff
Ling-Bing He, Yu-Long Zhou
We give quantitative estimates on the asymptotics of the linearized Boltzmann collision operator and its associated equation from angular cutoff to non cutoff. On one hand, the res…
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…