Asymptotic study of the Maxwell’s system with the Silver-Müller’s absorbing boundary condition. II. (Étude asymptotique du système de Maxwell avec la condition aux limites absorbante de Silver-Müller. II.) (French. Abridged English version) Zbl 0776.35073

Barucq, Hélène; Hanouzet, Bernard

C. R. Acad. Sci., Paris, Sér. I 316, No. 10, 1019-1024 (1993).

Summary: [For part I, cf. ibid., No. 6, 547-552 (1993; Zbl 0770.93053).]
After substracting suitable steady states, associated with the initial data and the properties of connectivity of the domain, we show that the energy of the electromagnetic field is decreasing to zero.

MSC:

35Q60	PDEs in connection with optics and electromagnetic theory
35B40	Asymptotic behavior of solutions to PDEs

Keywords:

connected domain; absorbing boundary condition; mixed problem; asymptotic behaviour; energy of the electromagnetic field

Citations:

Zbl 0770.93053