FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 211-226

On the formulation of initial-value problems for systems consisting of relativistic particles

S. B. Kirpichev
P. A. Polyakov

Abstract

View as HTML     View as gif image

We discuss questions related to the well-posedness of problems on the motion of relativistic many-body systems. For one-dimensional relativistic motion of $N$ similar charges, we prove that an ordinary Cauchy problem usual in Newton mechanics can be stated; this is done in the framework of microscopic Maxwell--Lorentz electrodynamics (including a model with self-action) or Wheeler--Feynman theory.

Location: http://mech.math.msu.su/~fpm/eng/k05/k051/k05110h.htm
Last modified: April 27, 2005