Geodesic
Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
Dumas, Eric1  ; Sueur, Franck2 
1 Université Grenoble 1 Institut Fourier 100, rue des mathématiques BP 74 - 38402 Saint Martin d’Hères, France
2 Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie Paris 6 75252 Paris, France
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 3, pp. 503-543

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In this paper we continue the investigation of the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. In particular we extend some previous results about the Cauchy problem and the quasi-stationary limit to the case where the magnetic permeability and the electric permittivity are variable.

Publié le :
Classification : 35L45, 35Q60

Dumas, Eric 1 ; Sueur, Franck 2

1 Université Grenoble 1 Institut Fourier 100, rue des mathématiques BP 74 - 38402 Saint Martin d’Hères, France
2 Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie Paris 6 75252 Paris, France 
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     author = {Dumas, Eric and Sueur, Franck},
     title = {Cauchy problem and quasi-stationary limit for the {Maxwell-Landau-Lifschitz} and {Maxwell-Bloch} equations},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {503--543},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 11},
     number = {3},
     year = {2012},
     mrnumber = {3059836},
     zbl = {1258.35191},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_3_503_0/}
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Dumas, Eric; Sueur, Franck. Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 3, pp. 503-543. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_3_503_0/