Semigroup decay of the linearized Boltzmann equation in a torus

被引：4

作者：

Li, Fucai ^{[1
]}

Wu, Kung-Chien ^{[2
,3
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

[3] Natl Taiwan Univ, Natl Ctr Theoret Sci, Taipei 106, Taiwan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 03期

关键词：

Boltzmann equation; Semigroup; Maxwellian states; Decay; GREENS-FUNCTION; BEHAVIOR;

D O I：

10.1016/j.jde.2015.10.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including L-x(infinity) L-xi,beta(infinity) (beta >= 0) and L-x(p) L-xi(p) (1 <= p <= infinity, 1 < q < infinity) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：2729 / 2749

页数：21

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