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2011, 2011(Special): 747-753. doi: 10.3934/proc.2011.2011.747

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  July 2010 Revised  January 2011 Published  October 2011

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.
Keywords: Bean's critical state model, approximation, initial-boundary-value problem, Maxwell's equations.
Mathematics Subject Classification: Primary: 35Q60, 35D05; Secondary: , 58E35.
Citation: Frank Jochmann. Power-law approximation of Bean's critical-state model with displacement current. Conference Publications, 2011, 2011 (Special) : 747-753. doi: 10.3934/proc.2011.2011.747
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