Advertisement

Continuum Mechanics and Thermodynamics

, Volume 8, Issue 4, pp 201–214 | Cite as

Original ArticleFree enthalpies, free energies and norms for dielectrics with fading memory

  • G. Gentili

Within the theory of electromagnetic materials with memory we construct a new history space \({\cal H}\) and a new free enthalpy \(\zeta_{\rm M}\) which turns out to be the maximal one among all the possible free enthalpies. The corresponding free energy \(\psi_{\rm M}\) may be thought as a squared norm on \({\cal H}\). This ensures the continuity of \(\zeta_{\rm M}\) on \({\cal H}\)with respect to such a norm. Moreover \(\zeta_{\rm M}\) and \(\psi_{\rm M}\) may be written in the frequency domain, i.e. in terms of the Fourier transforms of the variables. Then we compare \(\zeta_{\rm M}\) with some other free enthalpies. Finally an application is given for stability problems.

Keywords

Fourier Enthalpy Free Energy Fourier Transform Free Enthalpy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • G. Gentili
    • 1
  1. 1.Dipartimento di Matematica, P.zza di P.ta S.Donato 5, I-40127 Bologna, ItalyIT

Personalised recommendations