Tucker, Robin (2009) Differential form valued forms and distributional electromagnetic sources. Journal of Mathematical Physics, 50 (3). ISSN 0022-2488
Full text not available from this repository.Abstract
Properties of a fundamental double-form of bidegree (p,p) for p ≥ 0 are reviewed in order to establish a distributional framework for analyzing equations of the form Δ+λ2 = , where Δ is the Hodge–de Rham operator on p-forms on R3. Particular attention is devoted to singular distributional solutions that arise when the source is a singular p-form distribution. A constructive approach to Dirac distributions on (moving) submanifolds embedded in R3 is developed in terms of (Leray) forms generated by the geometry of the embedding. This framework offers a useful tool in electromagnetic modeling where the possibly time-dependent sources of certain physical attributes, such as electric charge, electric current, and polarization or magnetization, are concentrated on localized regions in space.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Mathematical Physics |
| Uncontrolled Keywords: | differential equations ; electric charge ; electric current ; electromagnetic fields ; geometry ; magnetisation ; mathematical operators ; polarisation |
| Subjects: | Q Science > QC Physics |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 55685 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 12 Jul 2012 09:22 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 20:41 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/55685 |
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