Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-28T08:34:23.281Z Has data issue: false hasContentIssue false
  • English
  • Français

On irregular weak solutions of the energy–momentum equations

Published online by Cambridge University Press:  11 February 2011

J. Sivaloganathan  and
Scott J. Spector
J. Sivaloganathan
Affiliation:
Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK ([email protected])
Scott J. Spector
Affiliation:
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Irregular mappings that are weak solutions of the energy–momentum equations are presented. One example is discontinuous at a countable number of points while the other is C1, but not C2. These mappings are not solutions of the usual Euler–Lagrange equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 1 , February 2011 , pp. 193 - 204
Copyright
Copyright © Royal Society of Edinburgh 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)