Coordinates in the relativistic Boltzmann theory

Robert M. Strain

doi:10.3934/krm.2011.4.345

Article Contents

2011, Volume 4, Issue 1: 345-359. Doi: 10.3934/krm.2011.4.345

This issue Previous Article On the Kac model for the Landau equation Next Article Non-Newtonian Couette-Poiseuille flow of a dilute gas

Coordinates in the relativistic Boltzmann theory

Robert M. Strain^1,

1.
University of Pennsylvania, Department of Mathematics, David Rittenhouse Lab, 209 South 33rd Street, Philadelphia, PA 19104

Received: September 2010

Revised: October 2010

Published: March 2011

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Abstract

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 [27, 15], and others which seem to be new. One of these representations has been used recently to solve several open problems in [42, 41, 30, 39].

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Mathematics Subject Classification: Primary: 76P05; Secondary: 83A05.

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