On the hyperbolicity of Maxwell's equations with a local constitutive law.

Perlick, Volker (2011) On the hyperbolicity of Maxwell's equations with a local constitutive law. Journal of Mathematical Physics, 52. 042903. ISSN 0022-2488

Full text not available from this repository.

Abstract

Maxwell's equations are considered in metric-free form, with a local but otherwise arbitrary constitutive law. After splitting Maxwell's equations into evolution equations and constraints, we derive the characteristic equation and we discuss its properties in detail. We present several results that are relevant for the question of whether the evolution equations are hyperbolic, strongly hyperbolic, or symmetric hyperbolic. In particular, we give a convenient characterization of all constitutive laws for which the evolution equations are symmetric hyperbolic. The latter property is sufficient, but not necessary, for well-posedness of the initial-value problem. By way of example, we illustrate our results with the constitutive laws of biisotropic media and of Born–Infeld theory.

Item Type: Journal Article
Journal or Publication Title: Journal of Mathematical Physics
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 34493
Deposited By: Dr Volker Perlick
Deposited On: 11 Nov 2010 08:45
Refereed?: Yes
Published?: Published
Last Modified: 02 Jul 2019 03:04
URI: https://eprints.lancs.ac.uk/id/eprint/34493

Actions (login required)

View Item View Item