Asymptotic behavior of dispersive electromagnetic waves in bounded domains

• Published in: Zeitschrift für angewandte Mathematik und Physik Vol. 71; no. 3
• Main Authors: Nicaise, Serge, Pignotti, Cristina
• Format: Journal Article
• Language: English
• 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

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...