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Remark on Maxwell's divergence equations (1999)

Hillion, P.

Bradford : Emerald

Compel 18 (1999), S. 77-83

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ISSN: 0332-1649

Source: Emerald Fulltext Archive Database 1994-2005

Topics: Electrical Engineering, Measurement and Control Technology , Mathematics

Notes: The divergence equations in Maxwell's theory are Gauss law and the statement that magnetic monopoles do not exist; from this point of view these two equations are fundamental. However, from a practical point of view, it is generally believed that Maxwell's divergence equations are redundant and may be ignored provided that they are satisfied at some time t-0. It has been proved recently that this idea is not correct for boundary-initial value problems. To make mathematical arguments more accessible, we analyse here the role of the divergence equations in the framework of 2D-electromagnetism.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1108/03321649910237000

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