Low frequency asymptotics and electro-magneto-statics for time-harmonic maxwell's equations in exterior weak lipschitz domains with mixed boundary conditions
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We prove that the time-harmonic solutions to Maxwell's equations in a threedimensional exterior domain converge to a certain static solution as the frequency tends to zero. We work in weighted Sobolev spaces and construct new compactly supported replacements for Dirichlet- Neumann fields. Moreover, we even show convergence in operator norm.
Details
| Original language | English |
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| Pages (from-to) | 4971-5000 |
| Number of pages | 30 |
| Journal | SIAM journal on mathematical analysis |
| Volume | 52 |
| Issue number | 5 |
| Publication status | Published - 19 Oct 2020 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-4155-7297/work/145224226 |
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Keywords
ASJC Scopus subject areas
Keywords
- Cohomology groups, Dirichlet-Neumann fields, Electro-magneto-statics, Exterior boundary value problems, Hodge-Helmholtz decompositions, Low frequency asymptotics, Maxwell's equations, Polynomial decay of eigensolutions, Radiating solutions