Asymptotic behavior of dispersive electromagnetic waves in bounded domains

We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigroup theory. A passitivity assumption guarantees the boundedness of the associated semigroup. Further the exponential or p...

Full description

Saved in:
Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 71; no. 3
Main Authors Nicaise, Serge, Pignotti, Cristina
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2020
Springer Nature B.V
Springer Verlag
Subjects
Analysis of PDEs
Asymptotic properties
Domains
Electromagnetic radiation
Engineering
Mathematical Methods in Physics
Mathematics
Maxwell's equations
Polynomials
Stability analysis
Theoretical and Applied Mechanics
Well posed problems
Dispersive media
35L50
93D20
Stabilization
Maxwell equations
Mathematics Subject Classification. 35L50 93D20 Dispersive media Maxwell equations Stabilization
Mathematics Subject Classification. 35L50
93D20 Dispersive media
Online AccessGet full text

Cover

More Information
Summary:We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigroup theory. A passitivity assumption guarantees the boundedness of the associated semigroup. Further the exponential or polynomial decay of the energy is proved under suitable sufficient conditions. Finally, several illustrative examples are presented.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-020-01297-6