Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 1
27
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

The minimum free energy for an electromagnetic conductor

Pages 67-87 | Accepted 02 Sep 2003, Published online: 15 Aug 2006

References

  • Graffi , D . 1956 . Una teoria ereditaria dell'effetto Lussemburgo . Rendiconti del Seminario Matematico della Universita di Padova , 7 : 36 – 55 .
  • Marziani , M . 1989 . The hereditary theoretical approach to nonlinear phenomena in the ionosphere . Acc. Sc. Fe. , 66 : 211
  • Gurevich AV 1994 Non-linear Phenomena in the Ionosphere Berlin Springer
  • Golden , JM . 2000 . Free energy in the frequency domain: the scalar case . Quarterly of Applied Mathematics , LVIII ( 1 ) : 127 – 150 .
  • Gentili , G . 1995 . Thermodynamic potentials for electromagnetic fields in the ionosphere . International Journal of Engineering Science , 11 ( 33 ) : 1561 – 1575 .
  • Gentili , G . 2002 . Maximum recoverable work, minimum free energy and state space in linear viscoelasticity . Quarterly of Applied Mathematics , LX ( 1 ) : 153 – 182 .
  • Amendola , G . 2002 . Asymptotic behaviour for electromagnetic fields in the ionosphere . Annali dell' Universita di Ferrara. Nuova Scrie. Sezione VII. Scienze Matematiche , XLVIII : 165 – 187 .
  • Fabrizio , M . 1973 . Teoremi di approssimazione e restrizioni termodinamiche per le equazioni costitutive del campo elettromagnetico . Atti Accad. Sci. Ist. Bologna , XII ( 10 ) : 97
  • Fabrizio , M and Golden , JM . 2002 . Maximum and minimum free energies for a linear viscoelastic material . Quarterly of Applied Mathematics , LX ( 2 ) : 341 – 381 .
  • Fabrizio , M and Morro , A . 1997 . Thermodynamics of electromagnetic isothermal systems with memory . J. Non-equil. Thermodyn. , 22 : 110 – 128 .
  • Fabrizio M Morro A 1992 Mathematical problems in linear viscoelasticity. SIAM Philadelphia
  • Fabrizio , M , Giorgi , C and Morro , A . 1994 . Free energies and dissipation properties for systems with memory . Archive for Rational Mechanics and Analysis , 125 : 341 – 373 .
  • Coleman , BD and Dill , EH . 1971 . On the thermodynamics of electromagnetic fields in materials with memory . Archive for Rational Mechanics and Analysis , 41 : 132 – 162 .
  • Coleman , BD and Dill , EH . 1971 . Thermodynamic restrictions on the constitutive equations of electromagnetic theory . Zeitschrift fur Angewandte Mathematik und Physik , 22 : 691 – 702 .
  • Noll , W . 1972 . A new mathematical theory of simple materials . Archive for Rational Mechanics and Analysis , 48 : 1 – 50 .
  • Coleman , BD and Owen , DR . 1974 . A mathematical foundation of thermodynamics . Archive for Rational Mechanics and Analysis , 54 : 1 – 104 .
  • Breuer , S and Onat , ET . 1981 . On recoverable work in viscoelasticity . Zeitschrift fur Angewandte Mathematik and Physik , 15 : 13 – 21 .
  • Day , WA . 1970 . Reversibility, recoverable work and free energy in linear viscoelasticity . The Quarterly Journal of Mechanics and Applied Mathematics , 23 : 1 – 15 .
  • Muskhelishvili NI 1953 Singular Integral Equations Groningen Noordhoff

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.