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Problème de Cauchy pour l’équation de Boltzmann en relativite générale. (French) Zbl 0266.35056


MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
45K05 Integro-partial differential equations

References:

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[2] A. Lichnerowicz et R. Marrot , C. R. Acad. Sc. , t. 210 , 1940 , p. 759 . MR 4796 | Zbl 0024.37704 | JFM 66.1142.02 · Zbl 0024.37704
[3] A.N. Chernikov , The relativistic gas in the gravitational field ( Acta Physica Polonica , vol. 23 , 1963 , p. 269 ). MR 162571 | Zbl 0116.21605 · Zbl 0116.21605
[4] L. Bel , Kinetic theory of cosmology ( Astrophysical J. , vol. 55 , 1969 , p. 83 - 87 ). Zbl 0172.27802 · Zbl 0172.27802 · doi:10.1086/149850
[5] Y. Choquet-Bruhat , Problème de Cauchy pour le système intégrodifférentiel d’Einstein-Liouville ( Ann. Inst. Fourier , t. XXI , n^\circ 3 , 1971 , p. 181 - 201 ). Numdam | MR 337248 | Zbl 0208.14303 · Zbl 0208.14303 · doi:10.5802/aif.385
[6] J. Ehlers , Relativistic Kinetic Theory , C. I. M. E. , Cremonese , Rome , 1970 . · Zbl 0247.76108
[7] C. Marle , Sur l’établissement des équations de l’hydrodynamique relativiste ( Ann. Inst. Poirtcaré , t. 10 , 1969 , p. 67 - 194 ). MR 242453
[8] J.L. Synge , The relativistic gaz , North Holland Publishing Company , 1957 . MR 88362 | Zbl 0077.41706 · Zbl 0077.41706
[9] J. Leray , Uniformisation et développements asymptotiques ( Bull. Soc. math. Fr. , 1962 ).
[10] Y. Choquet-Bruhat , Hyperbolic differential equations on a manifold dans Battelle Seattle Rencontres , 1967 . Zbl 0169.43202 · Zbl 0169.43202
[11] S. Agmon , Lectures on elliptic boundary value problems , Van Norstand Mathematical Studies , 1965 . MR 178246 | Zbl 0142.37401 · Zbl 0142.37401
[12] P.A. Dionne , Sur les problèmes de Cauchy hyperboliques bien posés ( J. Anal. Math. , 1962 ). MR 150475 | Zbl 0112.32301 · Zbl 0112.32301 · doi:10.1007/BF02790303
[13] Y. Choquet-Bruhat et D. Bancel , Existence , uniqueness and local stability for the Einstein-Maxwell-Boltzmann System (à paraître) . Article | Zbl 0283.76080 · Zbl 0283.76080 · doi:10.1007/BF01645621
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