THE RELATIVISTIC BOLTZMANN EQUATION ON BIANCHI TYPE I SPACE TIME FOR HARD POTENTIALS

被引：4

作者：

Noutchegueme, Norbert ^{[1
]}

Takou, Etienne ^{[2
]}

Tchuengue, E. Kamdem ^{[1
]}

机构：

[1] Univ Yaounde I, Dept Math, Fac Sci, BP 812, Yaounde, Cameroon

[2] Univ Yaounde I, Dept Math & Sci Phys, Ecole Natl Super Polytech, BP 8390, Yaounde, Cameroon

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2017年 / 80卷 / 01期

关键词：

relativistic Boltzmann equation; Bianchi type I space-time; hard potentials scattering kernel; GLOBAL EXISTENCE; CAUCHY-PROBLEM; SYSTEM;

D O I：

10.1016/S0034-4877(17)30063-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the Cauchy problem for the spatially homogeneous relativistic Boltzmann equation with small initial data. The collision kernel considered here is for a hard potentials case. The background space-time in which the study is done is the Bianchi type I space-time. Under certain conditions made on the scattering kernel and on the metric, a uniqueness global (in time) solution is obtained in a suitable weighted functional space.

引用

页码：87 / 114

页数：28

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