Construction of equilibrium magnetic vector potentials (Q5952185)

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scientific article; zbMATH DE number 1687809
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Construction of equilibrium magnetic vector potentials
scientific article; zbMATH DE number 1687809

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    Construction of equilibrium magnetic vector potentials (English)
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    11 September 2002
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    The authors continue the work of the second author [Hokkaido Math. J. 25, 1-53 (1996; Zbl 0863.31003)] giving the existence of an equilibrium surface current on a closed real-analytic smooth surface in \(\mathbb{R}^3\), generalizing the notion of an electric solenoid. Here an algorithm for the equilibrium surface current on closed \(C^\omega\) smooth surfaces in \(\mathbb{R}^3\) is given.
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    equilibrium magnetic vector potentials
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    solenoid
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    single layer potential
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    double layer potential
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    harmonic forms
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