4 citations · 7 across the 5 of their papers we have counts for
7 papers
Determining the collision kernel in the Boltzmann equation near the equilibrium
Li Li, Zhimeng Ouyang
We consider an inverse problem for the nonlinear Boltzmann equation near the equilibrium. Our goal is to determine the collision kernel in the Boltzmann equation from the knowledge…
Hilbert Expansion for the Relativistic Landau Equation
Zhimeng Ouyang, Lei Wu, Qinghua Xiao
In this paper, we study the local-in-time validity of the Hilbert expansion for the relativistic Landau equation. We justify that solutions of the relativistic Landau equation conv…
On the Quantum Boltzmann Equation near Maxwellian and Vacuum
Zhimeng Ouyang, Lei Wu
We consider the non-relativistic quantum Boltzmann equation for fermions and bosons. Using the nonlinear energy method and mild formulation, we justify the global well-posedness wh…
Scattering map for the Vlasov-Poisson system
Patrick Flynn, Zhimeng Ouyang, Benoit Pausader +1
We construct (modified) scattering operators for the Vlasov-Poisson system in three dimensions, mapping small asymptotic dynamics as to asymptotic dynamics as $t\to…
Asymptotic Analysis of Boltzmann Equation in Bounded Domains
Lei Wu, Zhimeng Ouyang
Consider 3D Boltzmann equation in convex domains with diffusive-reflection boundary condition. We study the hydrodynamic limits as the Knudsen number and Strouhal number $ε\rightar…
decay for the linearized Landau equation with the specular boundary condition
Yan Guo, Hyung Ju Hwang, Jin Woo Jang +1
In this paper, we develop an alternative approach to establish the decay estimate for the linearized Landau equation in a bounded domain with specular boundary condition. The…