Power-law approximation of Bean's critical-state model with displacement current

Frank Jochmann

doi:10.3934/proc.2011.2011.747

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2011, Volume 2011: 747-753. Doi: 10.3934/proc.2011.2011.747 open access

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Power-law approximation of Bean's critical-state model with displacement current

Frank Jochmann^1,

1.
Technische Universität Berlin, Fakultät II - Mathematik und Naturwissenschaften, Institut für Mathematik, Strasse des 17. Juni 136, 10623 Berlin

Received: June 30, 2010

Revised: December 31, 2010

Published: August 2017

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Abstract

The paper deals with Bean's critical state model for the description of the electromagnetic field in type-II superconductors in the case where the displacement current is not neglected at least in the surrounding insulating medium. The main goal is the approximation of the Voltage-current relation in the critical state model by a power law.

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Mathematics Subject Classification: Primary: 35Q60, 35D05; Secondary: , 58E35.

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