66 citations · 133 across the 8 of their papers we have counts for
8 papers
On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
Bocheng Liu, Xuguang Lu
In this paper we prove the strong and time-averaged strong convergence to equilibrium for solutions (with general initial data) of the spatially homogeneous Boltzmann equation for…
Classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
Xuguang Lu
The classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles is proved for any -dimensional velocity space with . The same…
On semi-classical limit of spatially homogeneous quantum Boltzmann equation: weak convergence
Ling-Bing He, Xuguang Lu, Mario Pulvirenti
It is expected in physics that the homogeneous quantum Boltzmann equation with Fermi-Dirac or Bose-Einstein statistics and with Maxwell-Boltzmann operator (neglecting effect of the…
The Spatially Homogeneous Boltzmann Equation for Bose-Einstein Particles: Rate of Strong Convergence to Equilibrium
Shuzhe Cai, Xuguang Lu
The paper is a continuation of our previous work on the spatially homogeneous Boltzmann equation for Bose-Einstein particles with quantum collision kernel that includes the hard sp…
Global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data
Wenyi Li, Xuguang Lu
In this paper we prove the global in time existence and uniqueness of solutions of the spatially homogeneous Boltzmann equation for Bose-Einstein particles for the hard sphere mode…
On measure solutions of the Boltzmann equation, Part II: Rate of convergence to equilibrium
Lu Xuguang, Clément Mouhot
The paper considers the convergence to equilibrium for measure solutions of the spatially homogeneous Boltzmann equation for hard potentials with angular cutoff. We prove the expon…
On Measure Solutions of the Boltzmann Equation, part I: Moment Production and Stability Estimates
Xuguang Lu, Clément Mouhot
The spatially homogeneous Boltzmann equation with hard potentials is considered for measure valued initial data having finite mass and energy. We prove the existence of \emph{weak…
On Strong Convergence to Equilibrium for the Boltzmann Equation with Soft Potentials
Eric A. Carlen, Maria C. Carvalho, Xuguang Lu
The paper concerns - convergence to equilibrium for weak solutions of the spatially homogeneous Boltzmann Equation for soft potentials $(-4\le \gm<0$), with and without angula…