arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1609.05613gr-qc
收藏

Robertson-Walker时空中真空附近的非齐次相对论Boltzmann方程

Inhomogeneous relativistic Boltzmann equation near vacuum in the Robertson-Walker space-time

Etienne Takou, Fidele L. Ciake Ciake

摘要:

本文考虑了具有近真空初值的相对论性Boltzmann方程的Cauchy问题,其中分布函数依赖于时间、位置和冲量。这里考虑的碰撞核是硬势的情况下,背景时空中的研究是罗伯逊-沃克时空。在适当的加权空间中,得到了唯一的全局(时间上)mild解。

英文摘要:

In this paper, we consider the Cauchy problem for the relativistic Boltzmann equation with near vacuum initial data where the distribution function depends on the time, the position and the impulsion. The collision kernel considered here is for the hard potentials case and the background space-time in which the study is done is the Robertson-Walker space-time. Unique global (in time) mild solution is obtained in a suitable weighted space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑