Energy decay for Maxwell's equations with Ohm's law on partially cubic domains

TL;DR

This paper proves that the energy of Maxwell's equations with Ohm's law decreases polynomially over time in partially cubic domains, even when trapped rays are present.

Contribution

It establishes polynomial decay rates for Maxwell's equations with Ohm's law in complex geometries with trapped rays, extending previous decay results.

Findings

Polynomial energy decay proven in partially cubic domains

Decay holds despite presence of trapped rays

Results applicable to electromagnetic modeling in complex structures

Abstract

We prove a polynomial energy decay for the Maxwell's equations with Ohm's law on partially cubic domains with trapped rays.