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Levy, Th.; Sanchez-Palencia, E.

Equations and interface conditions for acoustic phenomena in porous media. (English) Zbl 0392.76067

J. Math. Anal. Appl. 61, 813-834 (1977).
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Cited in 1 Review
Cited in 14 Documents

MSC:

76Q05 Hydro- and aero-acoustics
76S05 Flows in porous media; filtration; seepage
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

Navier-Stokes Equations; Microscopic; Acoustic; Porous Media
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References:

[1] Rayleigh, J. W.S, The Theory of Sound (1945), Dover: Dover New York · Zbl 0061.45904
[2] Morse, P. M.; Ingard, K. U., Linear acoustic theory, (Handbuch der Physik, Band 11/1 (1961), Springer: Springer Berlin), 1-128
[3] Skudrzyk, E., The Foundations of Acoustics (1971), Springer: Springer Vienna · Zbl 0251.76052
[4] De Giorgi, E.; Spagnolo, S., Sulla convergenza degli integrali dell’energia per operatori ellittici del secondo ordine, Boll. Un. Mat. Ital., 8, 391-411 (1973) · Zbl 0274.35002
[5] Sanchez-Palencia, E., Comportements local et macroscopique d’un type de milieux physiques hétérogènes, Internat. J. Engrg. Sci., 12, 331-351 (1974) · Zbl 0275.76032
[6] Bensoussan, A.; Lions, J. L.; Papanicolau, G., Sur quelques phénomènes asymptotiques stationnaires, C. R. Acad. Sci. Paris Sér. A, 281, 89-94 (1975) · Zbl 0309.35007
[7] Bensoussan, A.; Lions, J. L.; Papanicolau, G., Sur quelques phénomènes asymptotiques d’évolution, C. R. Acad. Sci. Paris Sér. A, 281, 317-322 (1975) · Zbl 0317.35006
[8] Ene, H. I.; Sanchez-Palencia, E., Équations et phénomènes de surface pour l’écoulement dans un modèle de milieu poreux, J. Mécan., 14, 73-108 (1975) · Zbl 0304.76037
[9] Levy, T.; Sanchez-Palencia, E., On boundary conditions for fluid flow in porous media, Internat. J. Engrg. Sci., 13, 923-940 (1975) · Zbl 0321.76038
[10] Landau, L.; Lifchitz, E., Mécanique des fluides (1971), Mir: Mir Moscow · Zbl 0144.47605
[11] Becker, E., Gas Dynamics (1968), Academic Press: Academic Press New York · Zbl 0197.24301
[12] Necas, J., Les méthodes directes en théorie des équations èlliptiques (1967), Masson-Academia: Masson-Academia Paris Praha · Zbl 1225.35003
[13] Morse, P. M.; Bolt, R. H., Sound waves in rooms, Rev. Modern Phys., 16, 69-150 (1944)
[14] Smith, P. G.; Greenkorn, R. A., Theory of acoustical wave propagation in porous media, J. Acoust. Soc. Amer., 52, 247-253 (1972)
[15] Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow (1963), Gordon and Breach: Gordon and Breach New York · Zbl 0121.42701
[16] Sommerfeld, A., Optics (1967), Academic Press: Academic Press New York
[17] Werner, P., Beugunsprobleme der Mathematischen Akustik, Arch. Rat. Mech. Anal., 12, 155-184 (1963) · Zbl 0112.20303
[18] Courant, R.; Hilbert, D., Methods of Mathematical Physics (1962), Interscience: Interscience New York · Zbl 0729.00007
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