@article{ZNSL_2008_354_a9,
author = {L. A. Molotkov},
title = {Effective model of a~porous-fluid medium},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {190--211},
year = {2008},
volume = {354},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a9/}
}
L. A. Molotkov. Effective model of a porous-fluid medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 190-211. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a9/
[1] L. A. Molotkov, “Ob ekvivalentnosti sloisto-periodicheskikh i transversalno-izotropnykh sred”, Zap. nauchn. semin. LOMI, 89, 1979, 219–233 | MR | Zbl
[2] L. A. Molotkov, Issledovanie rasprostraneniya voln v poristykh i treschinovatykh sredakh na osnove effektivnykh modelei Bio i sloistykh sred, Nauka, SPb., 2001
[3] L. A. Molotkov, A. V. Bakulin, “Effektivnaya model sloistoi uprugo-zhidkoi sredy kak chastnyi sluchai modeli Bio”, Zap. nauchn. semin. POMI, 230, 1995, 172–195 | MR | Zbl
[4] K. D. Mahrer, F. J. Mauk, “Seismic wave motion for a new model of hydraulic fracture with an induced low velocity zone”, J. Geophys. Res., 92:2 (1987), 9293–9309 | DOI
[5] T. J. Plona, K. W. Winkler, M. Schoenberg, “Acoustic waves in alternating fluid/solid layers”, J. Acoust. Soc. Amer., 81:5 (1987), 1227–1234 | DOI
[6] M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. I: Low frequency range”, J. Acoust. Soc. Amer., 28 (1956), 168–178 | DOI | MR
[7] M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. II: High frequency range”, J. Acoust. Soc. Amer., 28 (1956), 179–191 | DOI | MR
[8] L. A. Molotkov, Matrichnyi metod v teorii rasprostraneniya voln v sloistykh uprugikh i zhidkikh sredakh, L., 1984
[9] L. A. Molotkov, “O metodakh vyvoda uravnenii, opisyvayuschikh effektivnye modeli sloistykh sred”, Zap. nauchn. semin. POMI, 250, 1998, 219–243 | MR | Zbl
[10] L. A. Molotkov, A. E. Khilo, “Issledovanie odnofaznykh i mnogofaznykh effektivnykh modelei, opisyvayuschikh periodicheskie sredy”, Zap. nauchn. semin. LOMI, 140, 1984, 105–123
[11] F. R. Gantmakher, Teoriya matrits, M., 1967