Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials

被引：0
作者：
Sun, Baoyan [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 339卷
关键词：
Boltzmann equation; Hard potentials; Polynomial weight; Spectral gap; Dissipativity; Exponential rate; FOKKER-PLANCK EQUATION; LANDAU EQUATION; ANGULAR CUTOFF; PARTICLE BATH; SPECTRAL GAP; EQUILIBRIUM; STABILITY; OPERATORS; TREND; HYPOCOERCIVITY;
D O I：
10.1016/j.amc.2018.07.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the asymptotic behavior of solutions to the linear spatially homogeneous Boltzmann equation for hard potentials without angular cutoff. We obtain an optimal rate of exponential convergence towards equilibrium in a L-1 -space with a polynomial weight. Our strategy is taking advantage of a spectral gap estimate in the Hilbert space L-2(mu(-1/2) ) and a quantitative spectral mapping theorem developed by Gualdani et al. Boltzmann equation (2017). Hard potentials (C) 2018 Elsevier Inc. All rights reserved.
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收藏
页码：727 / 737
页数：11
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