@article{M2AN_1986__20_1_113_0,
author = {Santos, Juan Enrique},
title = {Elastic wave propagation in fluid-saturated porous media. {Part} {I.} {The} existence and uniqueness theorems},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {113--128},
year = {1986},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {20},
number = {1},
mrnumber = {844519},
zbl = {0616.76104},
language = {en},
url = {https://www.numdam.org/item/M2AN_1986__20_1_113_0/}
}
TY - JOUR AU - Santos, Juan Enrique TI - Elastic wave propagation in fluid-saturated porous media. Part I. The existence and uniqueness theorems JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1986 SP - 113 EP - 128 VL - 20 IS - 1 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1986__20_1_113_0/ LA - en ID - M2AN_1986__20_1_113_0 ER -
%0 Journal Article %A Santos, Juan Enrique %T Elastic wave propagation in fluid-saturated porous media. Part I. The existence and uniqueness theorems %J ESAIM: Modélisation mathématique et analyse numérique %D 1986 %P 113-128 %V 20 %N 1 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1986__20_1_113_0/ %G en %F M2AN_1986__20_1_113_0
Santos, Juan Enrique. Elastic wave propagation in fluid-saturated porous media. Part I. The existence and uniqueness theorems. ESAIM: Modélisation mathématique et analyse numérique, Tome 20 (1986) no. 1, pp. 113-128. https://www.numdam.org/item/M2AN_1986__20_1_113_0/
[1] , General Theory of Three-Dimensional Consolidation, Journal of Applied Physics, Vol. 12 (1941), pp. 155-165. | JFM
[2] , Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range, Journal of the Acoustical Society of America, Vol. 28, Number 2 (1965), pp. 168-178. | MR
[3] and , The Elastic Coefficient of the Theory of Consolidation, Journal of Applied Mechanics, Vol. 24, Trans. Asme, Vol. 79 (1957), pp. 594-601. | MR
[4] and , Inequalities in Mechanics and Physics, Springer-Verlag, Berlin, 1976. | Zbl | MR
[5] , The Biot-Willis Elastic Coefficients for a Sandstone, Journal of Applied Mechanics, Vol. 26 (1959), pp. 296-297.
[6] , Existence Theorems in Elasticity-Boundary Value Problems of Elasticity with Unilateral Constrains, Encyclopedia of Physics, S. Flüge, Ed., Vol. VI a/2 : Mechanics of Solids II, C. Truesdell, Ed., Springer-Verlag, Berlin, 1972, pp. 347-424.
[7] and , Finite Element Approximation of the Navier-Stokes Equations, Springer-Verlag, Berlin, 1981. | Zbl | MR
[8] , Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Gauthier-Villars, Paris, 1969. | Zbl | MR
[9] , On Korn's Second Inequality, preprint, Institute für Angenwandte Mathematik, Albert Ludwig Universitat, Herman-Herder Str. 10, 7800, Freiburg i, Br., West Germany.





