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Titre : |
Solution of axisymmetric Maxwell equations |
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Année : |
2003 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
F. Assous, P. Ciarlet, S. Labrunie |
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Résumé : |
In this article, we study the static and time-dependent Maxwell equations in axisymmetric geometry. Using the mathematical tools introduced in (Math. Meth. Appl. Sci. 2002; 25: 49), we investigate the decoupled problems induced in a meridian half-plane, and the splitting of the solution in a regular part and a singular part, the former being in the Sobolev space H1 component-wise. It is proven that the singular parts are related to singularities of Laplace-like or wave-like operators. We infer from these characterizations: (i) the finite dimension of the space of singular fields; (ii) global space and space–time regularity results for the electromagnetic field. This paper is the continuation of (Modél. Math. Anal. Numér. 1998; 32: 359, Math. Meth. Appl. Sci. 2002; 25: 49). Copyright © 2003 John Wiley & Sons, Ltd. |
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Thèmes : |
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Référence : |
Mathematical Methods in the Applied Sciences - vol. 26(10) (pp 861-896 ) |
