We consider Bean's critical state model for anisotropic superconductors. A variational problem solved by the quasi-static evolution of the internal magnetic field is obtained as the Gamma-limit of functionals arising from Maxwell's equations combined with a power law for the dissipation. Moreover, the quasi-static approximation of the internal electric field is recovered, using a first order necessary condition. If the sample is a long cylinder subjected to an axial uniform external field, the macroscopic electrodynamics is explicitly determined.

A Variational Approach to the Macroscopic Electrodynamics of Anisotropic Hard Superconductors / Crasta, Graziano; Malusa, Annalisa. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 192:1(2009), pp. 87-115. [10.1007/s00205-008-0125-5]

A Variational Approach to the Macroscopic Electrodynamics of Anisotropic Hard Superconductors

CRASTA, Graziano;MALUSA, ANNALISA
2009

Abstract

We consider Bean's critical state model for anisotropic superconductors. A variational problem solved by the quasi-static evolution of the internal magnetic field is obtained as the Gamma-limit of functionals arising from Maxwell's equations combined with a power law for the dissipation. Moreover, the quasi-static approximation of the internal electric field is recovered, using a first order necessary condition. If the sample is a long cylinder subjected to an axial uniform external field, the macroscopic electrodynamics is explicitly determined.
2009
01 Pubblicazione su rivista::01a Articolo in rivista
A Variational Approach to the Macroscopic Electrodynamics of Anisotropic Hard Superconductors / Crasta, Graziano; Malusa, Annalisa. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 192:1(2009), pp. 87-115. [10.1007/s00205-008-0125-5]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/228372
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact