Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

François Bouchut; François Golse; Christophe Pallard

doi:10.1007/s00205-003-0265-6

Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

François Bouchut
, François Golse
, Christophe Pallard

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C¹ solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

langue originale	Anglais
Pages (de - à)	1-15
Nombre de pages	15
journal	Archive for Rational Mechanics and Analysis
Volume	170
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s00205-003-0265-6
état	Publié - 1 nov. 2003
Modification externe	Oui

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10.1007/s00205-003-0265-6

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title = "Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System",

abstract = "R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.",

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N2 - R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

AB - R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

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Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

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