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.
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.
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Yvonne Choquet-Bruhat 1; James W. York 2
@article{CRMATH_2002__335_8_711_0, author = {Yvonne Choquet-Bruhat and James W. York}, title = {Bianchi{\textendash}Euler system for relativistic fluids and {Bel{\textendash}Robinson} type energy}, journal = {Comptes Rendus. Math\'ematique}, pages = {711--716}, publisher = {Elsevier}, volume = {335}, number = {8}, year = {2002}, doi = {10.1016/S1631-073X(02)02550-5}, language = {en}, }
TY - JOUR AU - Yvonne Choquet-Bruhat AU - James W. York TI - Bianchi–Euler system for relativistic fluids and Bel–Robinson type energy JO - Comptes Rendus. Mathématique PY - 2002 SP - 711 EP - 716 VL - 335 IS - 8 PB - Elsevier DO - 10.1016/S1631-073X(02)02550-5 LA - en ID - CRMATH_2002__335_8_711_0 ER -
Yvonne Choquet-Bruhat; James W. York. Bianchi–Euler system for relativistic fluids and Bel–Robinson type energy. Comptes Rendus. Mathématique, Volume 335 (2002) no. 8, pp. 711-716. doi : 10.1016/S1631-073X(02)02550-5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02550-5/
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