Non-linear electromagnetism and special relativity
type: Item
instance of: scholarly article
title: Non-linear electromagnetism and special relativity
zbMATH Open document ID: 1161.78004
author: Denis Serre
published in: Discrete and Continuous Dynamical Systems
publication date: 2009-02-19T00:00:00Z
review text: The paper makes use of the assumption of Lorentz invariance and, in particular, shows that nonlinearity forbids the convexity of the energy density. This is used to justify the study of rank-one convex and polyconvex densities. It is also shown that either electrodynamics is linear, or that dispersion is lost as the intensity of the magnetic field increases.
reviewed by: Alan Jeffrey
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 83A05
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 5509444
zbMATH Keywords: nonlinear electromagnetism
zbMATH Keywords: special relativity
zbMATH Keywords: Lorentz invariance
MaRDI profile type: Publication
full work available at URL: dcds.2009.23.435
OpenAlex ID: W2051421904
DOI: 10.3934/DCDS.2009.23.435
description: scientific article; zbMATH DE number 5509444