Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents
type: Item
instance of: scholarly article
title: Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents
zbMATH Open document ID: 0964.78002
author: I. A. Chegis
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-07-17T00:00:00Z
review text: The author proves a theorem on the general spectral properties of the electromagnetostatic operator and the operators of the Neumann and Maxwell boundary value problems for a bounded simply connected domain \(V\in\mathbb{R}^3\). This theorem appeared when analyzing a pair of harmonic fields in the domaines \(V\) and \(V_1={\mathbb{R}^3}\setminus\overline{V}\) under certain additional conditions imposed on the relation between the normal and tangent components of these fields on the boundary separating \(V\) and \(V_1\). The existence theorem for pairs of such fields is proved. The theorems proved can be applied to the problem of distribution of eddy current.
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 1473032
zbMATH Keywords: electromagnetostatic operator
zbMATH Keywords: spectral properties
zbMATH Keywords: boundary value problems
zbMATH Keywords: existence theorem
zbMATH Keywords: eddy currents
zbMATH Keywords: eigenvalues of integral operators
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1473032