Skip navigation
Skip navigation

Nonlinear electron solutions and their characteristics at infinity

Booth, Hilary


The Maxwell-Dirac equations model an electron in an electromagnetic field. The two equations are coupled via the Dirac current which acts as a source in the Maxwell equation, resulting in a nonlinear system of partial differential equations (PDE's). Well-behaved solutions, within reasonable Sobolev spaces, have been shown to exist globally as recently as 1997 [12]. Exact solutions have not been found - except in some simple cases. We have shown analytically in [6,18] that any spherical solution...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: Australian and New Zealand Industrial and Applied Mathematics


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator