The Maxwell equation in a periodic medium : homogenization of the energy density

P. A. Markowich; F. Poupaud

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 2, page 301-324
  • ISSN: 0391-173X

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Markowich, P. A., and Poupaud, F.. "The Maxwell equation in a periodic medium : homogenization of the energy density." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.2 (1996): 301-324. <http://eudml.org/doc/84232>.

@article{Markowich1996,
author = {Markowich, P. A., Poupaud, F.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {periodic medium; Maxwell's equations; electromagnetic energy density; Wigner measures},
language = {eng},
number = {2},
pages = {301-324},
publisher = {Scuola normale superiore},
title = {The Maxwell equation in a periodic medium : homogenization of the energy density},
url = {http://eudml.org/doc/84232},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Markowich, P. A.
AU - Poupaud, F.
TI - The Maxwell equation in a periodic medium : homogenization of the energy density
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 2
SP - 301
EP - 324
LA - eng
KW - periodic medium; Maxwell's equations; electromagnetic energy density; Wigner measures
UR - http://eudml.org/doc/84232
ER -

References

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  1. [BLP] A. Bensoussan - J.-L. Lions - G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam -New York-Oxford, 1978. Zbl0404.35001MR503330
  2. [FM] G.A. Francfort - F. Murat, Oscillations and energy densities in the wave equation, Comm. Partial Differential Equations17 (1992), 1785-1865. Zbl0803.35010MR1194741
  3. [G] P. Gerard, Mesures Semi-Classiques et Ondes de Bloch, Sem. Ecole Polytechnique16 (1991), 1-19. Zbl0739.35096MR1131589
  4. [LP] P.L. Lions - T. Paul, Sur le Measures de Wigner, Rev. Mat. Iberoamericana9 (1993), 553-618. Zbl0801.35117MR1251718
  5. [MM] P.A. Markowich - N.J. Mauser, The classical limit of a self-consistent quantum-Vlasov equation in 3-D, Math. Methods Appl. Sci.3 (1993), 109-124. Zbl0772.35061MR1203274
  6. [MMP] P.A. Markowich - N.J. Mauser - F. Poupaud, A Wigner function approach to semiclassical limits: electrons in a periodic potential, J. Math. Phys.35 (1994), 1066-1094. Zbl0805.35106MR1262733
  7. [RS] M. Reed - B. Simon, Methods of Modem Mathematical Physics IV, Academic Press, 4th ed., New York- San Francisco-London, 1987. Zbl0401.47001
  8. [W] C.H. Wilco, Theory of Bloch waves, J. Analyse Math.33 (1978), 146-167. Zbl0408.35067MR516045

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