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4 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…
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…