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

Pages: 747 - 753, Issue Special, September 2011

 Abstract        Full Text (300.9K)              

Frank Jochmann - Technische Universität Berlin, Fakultät II - Mathematik und Naturwissenschaften, Institut für Mathematik, Strasse des 17. Juni 136, 10623 Berlin, Germany (email)

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.

Keywords:  Maxwell's equations, Bean's critical state model, approximation, initial-boundary-value problem
Mathematics Subject Classification:  Primary: 35Q60, 35D05; Secondary: , 58E35

Received: July 2010;      Revised: January 2011;      Published: October 2011.