Solving an electrostatics-like problem with a current dipole source by means of the duality method

The aim of this note is to give a simple and direct proof of the existence and uniqueness of the solution to an electrostatics-like problem when the source (namely, the applied current density) is a current dipole. The result is obtained by using the classical duality method.

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Bibliographic Details
Published in:Applied mathematics letters 2012-10, Vol.25 (10), p.1410-1414
Main Author: Valli, Alberto
Format: Article
Language:English
Subjects:
Current dipole source
Duality method
Electrostatics-like problem
Weak solution
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Summary:The aim of this note is to give a simple and direct proof of the existence and uniqueness of the solution to an electrostatics-like problem when the source (namely, the applied current density) is a current dipole. The result is obtained by using the classical duality method.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.12.013