Low‐frequency asymptotics for dissipative Maxwell's equations in bounded domains
Norbert Weck, Karl J. Witsch · Mathematical Methods in the Applied Sciences · 1990
Abstract 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.