Complete Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains
Analysis of PDEs
2011-05-23 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We continue the study of the operator of generalized Maxwell equations and completely discover the behavior of the solutions of the time-harmonic equations as the frequency tends to zero. Thereby, we identify degenerate operators in terms of special 'polynomially growing' solutions of a corresponding static problem, which must be added to the 'usual' Neumann series in order to describe the low frequency asymptotic adequately.
Keywords
Cite
@article{arxiv.1105.4088,
title = {Complete Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains},
author = {Dirk Pauly},
journal= {arXiv preprint arXiv:1105.4088},
year = {2011}
}
Comments
Key Words: low frequency asymptotics, Maxwell's equations, exterior boundary value problems, variable coefficients, electro-magneto static, Hodge-Helmholtz decompositions, radiating solutions, asymptotic expansions, spherical harmonics, Hankel functions