Asymptotics of the capacity of a condenser with plates of an arbitrary shape
type: Item
instance of: scholarly article
title: Asymptotics of the capacity of a condenser with plates of an arbitrary shape
zbMATH Open document ID: 0569.35020
DOI: 10.1007/BF00968953
author: Yan Soibelman
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/62507
review text: The author formulates the mathematical problem of the condenser with arbitrary shaped plates and analyses existence and the asymptotic behaviour of the solution of condenser capacity when \(\epsilon\), the distance between the plates, tends to zero. The solution of the problem is expressed as a series of convergent functions and the condenser capacity is also evaluated as a series in \(\epsilon\). For a complete understanding of the mathematical contents of the paper it is necessary to consult some of the author's or other authors' papers, quoted in the bibliography, to which he refers the reader, for brevity.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 3908924
zbMATH Keywords: condenser
zbMATH Keywords: existence
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: condenser capacity
MaRDI profile type: Publication
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Q5736892
cites work: Circular-Disk Viscometer and Related Electrostatic Problems
cites work: Asymptotic formula for the capacitance of two oppositely charged discs
cites work: Q5509552
cites work: Q3887439
cites work: Q3855537
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description: scientific article; zbMATH DE number 3908924