Coordinates in the relativistic Boltzmann theory

Details Coordinates in the relativistic Boltzmann theory Coordinates in the relativistic Boltzmann theory

2010-11-23

arxiv.org/abs/1011.5093v1

K.R.M. (Vol. 4, No. 1), March 2011, 345-359, special issue

Mathematics

Analysis of PDEs

16 pages, to appear in the issue of K.R.M. dedicated to the memory of Carlo Cercignani

Scientific paper

10.3934/krm.2011.4.345

It is often the case in mathematical analysis that solving an open problem can be facilitated by finding a new set of coordinates which may illumniate the known difficulties. In this article, we illustrate how to derive an assortment coordinates in which to represent the relativistic Boltzmann collision operator. We show the equivalence between some known representations, and others which seem to be new. One of these representations has been used recently to solve several open problems.

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