Electromagnetism in Matter

  • Antonio Romano
  • Addolorata Marasco
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


Let S be a continuous system, and let C(t) be the region occupied by S at the instant t. Generally, C(t) is the union of the disjoint regions C 1 (t),…, C ν (t), and S exhibits the same physical properties in each of these regions. For instance, if S consists of two adjacent dielectrics occupying the regions C 1 (t) and C 2 (t) in the presence of a fixed conductor of volume C 3, then we have C(t) = C 1 (t)∪ C 2 (t)∪C 3C 4 (t), where C 4 (t) is the space around the dielectrics and the conductor.


Constitutive Equation Lorentz Transformation Jump Condition Entropy Inequality Galilean Transformation 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

  1. [134]
    K. Hutter, A thermodynamic theory of fluids and solids in electromagneticfields, Arch. Rat. Mech. Anal., 64, 269, 1977.MATHCrossRefMathSciNetGoogle Scholar
  2. [14]
    C. Trusdell, Sulle Basi della Termomeccanica, Rend. Accad. Lincei, 22, 33, 1957.Google Scholar
  3. [130]
    C. Mead, Electron Transport mechanism in thin insulating films,Phys. Rev., 128, 2088, 1972.CrossRefGoogle Scholar
  4. [117]
    I.-S. Liu, I. M¨uller, On the thermodynamics and thermostatics of fluidsin electromagnetic fields, Arch. Rat. Mech. Anal., 46, 149, 1972.MATHMathSciNetGoogle Scholar
  5. [116]
    B. D. Coleman, E. H. Dill, On the thermodynamics of electromagneticfields in materials with fading memory, Arch. Rat. Mech. Anal., 41, 132, 1971.CrossRefMathSciNetGoogle Scholar
  6. [16]
    A. Romano, R. Lancellotta, A. Marasco, Continuum Mechanics Using Mathematica® : Fundamentals, Methods, and Applications, Birkhäuser, Boston, 2005.Google Scholar
  7. [115]
    B. D. Coleman, E. H. Dill, Thermodynamic restrictions on the constitutiveequations of electromagnetic theory, Z. Angew. Math. Phys., 22, 691, 1971.MATHCrossRefGoogle Scholar
  8. [131]
    R. D. Mindlin, Polarization gradient in elastic dielectrics, Int. J. Solids Struct., 4, 637, 1968.MATHCrossRefGoogle Scholar

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Applicazioni “R. Caccioppoli”Università degli Studi di Napoli “Federico II”NapoliItaly

Personalised recommendations