@article{AIHPA_1976__24_3_213_0, author = {Maugin, G\'erard A.}, title = {Conditions de compatibilit\'e pour une hypersurface singuli\`ere en m\'ecanique relativiste des milieux continus}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {213--241}, publisher = {Gauthier-Villars}, volume = {24}, number = {3}, year = {1976}, mrnumber = {413994}, zbl = {0321.53021}, language = {fr}, url = {http://www.numdam.org/item/AIHPA_1976__24_3_213_0/} }
TY - JOUR AU - Maugin, Gérard A. TI - Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1976 SP - 213 EP - 241 VL - 24 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1976__24_3_213_0/ LA - fr ID - AIHPA_1976__24_3_213_0 ER -
%0 Journal Article %A Maugin, Gérard A. %T Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1976 %P 213-241 %V 24 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1976__24_3_213_0/ %G fr %F AIHPA_1976__24_3_213_0
Maugin, Gérard A. Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 24 (1976) no. 3, pp. 213-241. http://www.numdam.org/item/AIHPA_1976__24_3_213_0/
[1] Leçons sur la propagation des ondes. Hermann, Paris, 1903. | JFM
,[2] Extended Compatibility Conditions for the Study of Surfaces of Discontinuity in Continuum Mechanics. Jl. Math. and Mech., v. 6, 1957, p. 311-322 ; Erratum, ibid., 1957, p. 907-908. | MR | Zbl
,[3] The Classical Field Theories. Handbuch der Physik, Bd. III/1, p. 266-793. Ed. S. Flugge, Springer-Verlag, Berlin, 1960. | MR
et ,[4] Wave Propagation in Dissipative Materials. Springer-Verlag, Berlin, New York, 1965. | Zbl
, , et ,[5] Acceleration Waves in Simple and Linear Viscoelastic Micropolar Materials. Int. Jl. Engng. Sci., v. 12, 1974, p. 143-157. | Zbl
,[6] On the Propagation and Decay of Gravitational Waves. J. Math. Anal. Appl., v. 3, 1961, p. 315-335. | MR | Zbl
,[7] Hypersurfaces in Einstein-Riemann Space and Their Compatibility Conditions. J. Math. Anal. Appl., v. 7, 1963, p. 225-246. | MR | Zbl
,[8] Théorie des rayons en hydrodynamique et magnétohydrodynamique relativistes. Ann. Inst. Henri Poincaré, v. 7, 1967, p. 271-302. | EuDML | Numdam
,[9] Elasticity in General Relativity. Proc. Roy. Soc. London, t. 272A, 1963, p. 44-53. | MR | Zbl
,[10] Onde ordinarie di discontinuità nei mezzi elastici con deformazioni finite in relatività generale. Riv. Mat. Univ. Parma, v. 4, 1963, p. 23-40. | MR | Zbl
,[11] Relativistic Theory of the Propagation of Wave Fronts in Nonlinear Elastic Solids. Int. Jl. Engng. Sci., v. 6, 1968, p. 295-307.
,[12] Speed of Sound in High-pressure General Relativistic Solids. Phys. Rev., v. D7, 1973, p. 1590-1593.
,[13] Nonlinear Theory of Wave-front Propagation. Jl. Inst. Math. Applics, v. 1, 1965, p. 101-112. | MR
et ,[14] Variational Principles in General Relativity (Lecture 3), in Relativistic Fluid Dynamics, Proc. C. I. M. E., Bressanone, 1970, Ed. C. Cattaneo, Cremonese, Rome, 1971. | MR
,[15] Relativistic Theory of Magnetoelastic Interactions-I, J. Phys. A. Gen., v. 5, 1972, p. 786-802 [et les articles suivants de cette série : ibid., v. 6, 1973, p. 306-321, p. 1647-1666 ; v. 7, 1974, p. 818-856. | MR
,[16] Sur les fluides relativistes à spin. Ann. Inst. Henri Poincaré, v. 20, n° 1, 1974, p. 41-68. | Numdam | MR | Zbl
,[17] Ondes de choc, ondes infinitésimales et rayons en hydrodynamique et en magnétohydrodynamique relativistes, in Relativistic Fluid Dynamics, p. 87-203. Proc. C. I. M. E., Bressanone, 1970. Ed. C. Cattaneo, Cremonese, Rome, 1971. | MR
,[18] Relativistic Hydrodynamics, Lectures in Applied Mathematics, Vol. 8, p. 170-193, Amer. Math. Soc. Providence, R. I., 1967.
,[19] Ricci Calculus. Springer-Verlag, Berlin, 1954. | MR | Zbl
,[20] Champ des déformations d'un milieu continu dans l'espace-temps de Minkowski. C. R. Acad. Sci. Paris, t. 273A, 1971, p. 65-68.
,[21] An Action Principle in General Relativistic Magnetohydrodynamics. Ann. Inst. Henri Poincaré, v. 16, 1972, p. 133-169. | Numdam | MR | Zbl
,[22] Concepts from Tensor Analysis and Differential Geometry, 2nd Edition, Academic Press, New York, 1963. | MR | Zbl
,[23] Riemannian Geometry. Princeton Univ. Press, Princeton, N. J., 1926. | JFM
,[24] Constitutive Equations for Heat Conduction in General Relativity. J. Phys. A. Math., v. 7, 1974, p. 465-484. | MR
,[25] Singular Surfaces in Linear Thermoelasticity. Int. Jl. Engng. Sci., v. 3, 1965, p. 561-595. | MR
et ,[26] Théories relativistes de la gravitation et de l'électromagnétisme. Masson, Paris, 1955. | Zbl
,[27] Gravitational Characteristic Waves in Relativistic Equilibrium Fluids, in Fluides et champ gravitationnel en relativité générale. Coll. Intern. C. N. R. S., 1967. Éditions C. N. R. S., Paris, 1969. | MR
,[28] Advanced Calculus. Van Nostrand, Princeton, N. J., 1959. | MR
, et ,[29] Jump Conditions at Discontinuities in General Relativity. Comm. of the Dublin Inst. for Adv. Studies, Série A, v. 9, 1953. | Zbl
et ,[30] Singular Hypersurfaces in General Relativity. Ill. J. of Math., v. 1, 1957, p. 370-388. | MR | Zbl
,[31] Discontinuities in Spherically Symmetric Gravitational Fields and Shells of Radiation. Proc. Roy. Soc. London, t. A248, 1958, p. 404-414. | MR | Zbl
,[32] Fluides chargés de conductivité infinie. C. R. Acad. Sci. Paris, 4 mai 1958, n° 18.
,[33] Ondes de choc en magnétohydrodynamique relativiste. Ann. Inst. Henri Poincaré, v. 5, 1966, p. 37-75. | Numdam | Zbl
,[34] Formulation relativiste des lois physiques en relativité générale. Cours professé au Collège de France, 1961-1962 (polycopié).
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