Bianchi–Euler system for relativistic fluids and Bel–Robinson type energy
[Système de Bianchi–Euler pour un fluide relativiste, et énergie de type Bel–Robinson]
Choquet-Bruhat, Yvonne1 ; York, James W.2
1 LPTL, Université Paris 6, 4, 75252, Paris, France
2 Physics Department, Cornell University, Ithaca, NY, 14853-6801, USA
Comptes Rendus. Mathématique, Tome 335 (2002) no. 8, pp. 711-716.

On écrit un système symétrique hyperbolique satisfait par le tenseur de Riemann de l'espace temps et l'accélération dynamique d'un fluide parfait relativiste. On détermine l'énergie du type Bel–Robinson correspondante, et l'égalité intégrale qu'elle satisfait.

We write a first order symmetric hyperbolic system coupling the Riemann tensor with the dynamical acceleration of a prefect relativistic fluid. We determine the associated, coupled, Bel–Robinson type energy, and the integral equality that it satisfies.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02550-5
Choquet-Bruhat, Yvonne 1 ; York, James W. 2

1 LPTL, Université Paris 6, 4, 75252, Paris, France
2 Physics Department, Cornell University, Ithaca, NY, 14853-6801, USA 
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     title = {Bianchi{\textendash}Euler system for relativistic fluids and {Bel{\textendash}Robinson} type energy},
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Choquet-Bruhat, Yvonne; York, James W. Bianchi–Euler system for relativistic fluids and Bel–Robinson type energy. Comptes Rendus. Mathématique, Tome 335 (2002) no. 8, pp. 711-716. doi : 10.1016/S1631-073X(02)02550-5. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02550-5/

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