An existence result in nonlinear theory of electromagnetic fields

Dorin Iesan; Antonio Scalia

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 3, page 269-275
  • ISSN: 1120-6330

Abstract

top
This paper is concerned with the nonlinear theory of equilibrium for materials which do not conduct electricity. An existence and uniqueness result is established.

How to cite

top

Iesan, Dorin, and Scalia, Antonio. "An existence result in nonlinear theory of electromagnetic fields." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.3 (1991): 269-275. <http://eudml.org/doc/244164>.

@article{Iesan1991,
abstract = {This paper is concerned with the nonlinear theory of equilibrium for materials which do not conduct electricity. An existence and uniqueness result is established.},
author = {Iesan, Dorin, Scalia, Antonio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Electromagnetism; Nonlinear theory; Existence and uniqueness; variational methods; electromagnetism; existence},
language = {eng},
month = {9},
number = {3},
pages = {269-275},
publisher = {Accademia Nazionale dei Lincei},
title = {An existence result in nonlinear theory of electromagnetic fields},
url = {http://eudml.org/doc/244164},
volume = {2},
year = {1991},
}

TY - JOUR
AU - Iesan, Dorin
AU - Scalia, Antonio
TI - An existence result in nonlinear theory of electromagnetic fields
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/9//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 3
SP - 269
EP - 275
AB - This paper is concerned with the nonlinear theory of equilibrium for materials which do not conduct electricity. An existence and uniqueness result is established.
LA - eng
KW - Electromagnetism; Nonlinear theory; Existence and uniqueness; variational methods; electromagnetism; existence
UR - http://eudml.org/doc/244164
ER -

References

top
  1. COLEMAN, B. D. - DILL, E. H., Thermodynamical restrictions on the constitutive equations of electromagnetic theory. ZAMP, 22, 1971, 691-702. Zbl0218.35072
  2. COLEMAN, B. D. - DILL, E. H., On the thermodynamics of electromagnetic fields in materials with memory. Arch. Rational Mech. Anal., 41, 1971, 132-162. MR347245
  3. M. F. Mc CARTHY, , Thermodynamics of electromagnetic materials with memory. Arch. Rational Mech. Anal., 41, 1971, 333-353. MR342033
  4. FABRIZIO, M., Théorèmes d'unicité sur un nouveau problème au limites relatif aux équations non linéaires de Maxwell. J. Mécanique, 15, 1976, 681-695. Zbl0339.35060MR434159
  5. GRAFFI, D., Nonlinear Partial Differential Equations in Physical Problems. Pitman, Boston-London-Melbourne1980. Zbl0453.35001MR580946
  6. LANGENBACH, A., On some nonlinear operators of elasticity theory in Hilbert space. Vestnik Leningradskago Universiteta, 1, 1961, 38-50 (in Russian). MR162405
  7. BEJU, I., Theorems on existence, uniqueness and stability of the solution of the place boundary-value problem, in statics, for hyperelastic materials. Arch. Rational Mech. Anal., 42, 1971, 1-23. Zbl0224.73015MR373411
  8. MIKHLIN, S. G., Numerical Realization of Variational Methods. Moscow1966 (in Russian). 
  9. MINTY, J. G., Monotone (nonlinear) operators in Hilbert space. Duke Math. J., 29, 1962, 341-346. Zbl0111.31202MR169064
  10. FABRIZIO, M., Convessità dei potenziali termodinamici dell'elettromagnetismo ereditario. Atti Acc. Lincei Rend. fis., s. 8, vol. 60, 1973, 241-248. MR366230
  11. FABRIZIO, M., Sulla convessità dei potenziali termodinamici per materiali con memoria. Ann. Mat. Pura Appl., 101, 1974, 33-48. Zbl0303.73004MR366158
  12. MORRO, A., Variational methods for nonlinear dielectrics. Atti Sem. Mat. Fis. Univ. Modena, 36, 1988, 339-353. Zbl0664.49020MR976048

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.