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math.AP2022
Global mild solution with polynomial tail for the Boltzmann equation in the whole space
Renjun Duan, Zongguang Li, Shuangqian Liu
We are concerned with the Cauchy problem on the Boltzmann equation in the whole space. The goal is to construct global-in-time bounded mild solutions near Maxwellians with the pert…
math.AP2022★ 9 cited
Global bounded solutions to the Boltzmann equation for a polyatomic gas
Renjun Duan, Zongguang Li
In this paper we consider the Boltzmann equation modelling the motion of a polyatomic gas where the integration collision operator in comparison with the classical one involves an…
math.AP2022
Existence and uniqueness of solutions to the quantum Boltzmann equation for soft potentials
Zongguang Li
In this paper we consider a modified quantum Boltzmann equation with the quantum effect measured by a continuous parameter that can decrease from for the Fermi-Dirac part…