Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

On uniqueness and continuity for the quasi-linear, bianisotropic Maxwell equations, using an entropy condition

In English

Författare

Summary, in English

The quasi-linear Maxwell equations describing electromagnetic wave propagation in nonlinear media permit several weak solutions, which may be discontinuous (shock waves). It is often conjectured that the

solutions are unique if they satisfy an additional entropy

condition. The entropy condition states that the energy contained in the electromagnetic fields is irreversibly dissipated to other energy forms, which are not described by the Maxwell equations. We use the method employed by Kruzkov to scalar conservation laws to analyze the

implications of this additional condition in the electromagnetic case, i.e., systems of equations in three dimensions. It is shown that if a cubic term can be ignored, the solutions are unique and depend continuously on given data.

Publiceringsår

2007

Språk

Engelska

Sidor

317-339

Publikation/Tidskrift/Serie

Progress in Electromagnetics Research-Pier

Volym

71

Dokumenttyp

Artikel i tidskrift

Förlag

EMW Publishing

Ämne

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Forskningsgrupp

  • Electromagnetic theory

ISBN/ISSN/Övrigt

  • ISSN: 1070-4698