Low‐frequency asymptotics for dissipative Maxwell's equations in bounded domains | Zendy

Weck Norbert | Zendy; Witsch Karl J. | Zendy

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Low‐frequency asymptotics for dissipative Maxwell's equations in bounded domains

Author(s) -

Weck Norbert,

Witsch Karl J.

Publication year - 1990

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670130107

Subject(s) - dissipative system , mathematics , bounded function , limit (mathematics) , maxwell's equations , mathematical analysis , domain (mathematical analysis) , perfect conductor , frequency domain , conductor , harmonic , physics , quantum mechanics , geometry , scattering

Consider a bounded domain Ω surrounded by a perfect conductor and containing a conducting cavity D . The behaviour of the solutions of the time harmonic Maxwell problem as frequency tends to 0 is analysed in this situation. Necessary and sufficient conditions on the excitations are given which guarantee the existence of a limit. This limit turns out to be the solution of some static problem.

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