Asymptotic behavior of solutions to Maxwell's system in bounded domains with absorbing Silver–Müller's condition on the exterior boundary

Article type: Research Article

Authors: Barucq, H. | Hanouzet, B.

Affiliations: CeReMaB, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cédex, France

Note: [] Corresponding author.

Abstract: We develop an asymptotic study of Maxwell's system involving an absorbing boundary condition. First- and second-order systems are considered. In both cases, we prove that the solution converges towards a steady state depending on the geometrical properties of the obstacle. The asymptotic state involves the data of the problem.

Keywords: Maxwell's system, absorbing boundary conditions, asymptotic behaviour, electromagnetic waves

DOI: 10.3233/ASY-1997-15102

Journal: Asymptotic Analysis, vol. 15, no. 1, pp. 25-40, 1997