Geodesic
Asymptotic analysis of the problem of contact of a highly conducting and a perforated domain
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 1, pp. 70-86 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. Gnélécoumbaga; G. P. Panasenko. Asymptotic analysis of the problem of contact of a highly conducting and a perforated domain. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 1, pp. 70-86. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_1_a6/

[1] Panasenko G. P., “Asimptotiki vysshikh poryadkov reshenii uravnenii s bystro ostsilliruyuschimi koeffitsientami”, Dokl. AN SSSR, 240 (1978), 1293–1296 | MR | Zbl

[2] Panasenko G. P., “Asimptotiki vysshikh poryadkov reshenii zadach o kontakte periodicheskikh struktur”, Matem. sb., 152:4(12) (1979), 505–538 | MR | Zbl

[3] Homogenization: Averaging processes in periodic media, Kluwer etc., 1989 | MR | Zbl | Zbl

[4] Iager V., Oleinik O. A., Shamaev A. S., “Usrednenie kraevoi zadachi dlya uravneniya Laplasa v chastichno perforirovannoi oblasti”, Dokl. AN SSSR, 333:4 (1993), 424–427

[5] Jäger W., Mikelić A., Homogenization of the Laplace equation in partially perforated domain, Preprint analyse Numér. Lyon-StEtienne No 157, Nov. 1993 | Zbl

[6] Oleinik O. A., Shamaev A. C., “Usrednenie kraevoi zadachi dlya uravneniya Laplasa v chastichno perforirovannoi oblasti s usloviyami Dirikhle”, Dokl. AN SSSR, 333:4 (1994), 1253–1258

[7] Oleinik O. A., Shaposhnikova T. A., “Usrednenie neperiodicheskoi zadachi Dirikhle dlya chastichno perforirovannoi oblasti”, Vestn. MGU. Ser. matem., mekhan., 1995, no. 2, 3–11

[8] Gilbert R., Gnelecoumbaga S., Panasenko G., “Wave propagation in a system: “Porous media with Dirichlet's condition on boundary-continuous media””, Third Internat: Conf.Math. and Numer. Aspects of Wave Propagation Phenomena. Mandelieu-La Napoule France, April 24–28 1995. INRIA-SIAM, 449–455 | MR | Zbl

[9] Gnelecoumbaga A. S., Dévelopment asymptotique de la solution du probléme de Dirichlet pour l'équation de Poisson posée dans un milieu partiellement perforé, Preprint Analyse Numer. Lyon-StEtienne No 193, Nov. 1994

[10] Gnelecoumbaga A. S., Panasenko G. P., “On the problem of contact of highly conductive and perforated domains”, C. r. Acad. Sci. Sér. I, 321 (1995), 809–815 | MR | Zbl

[11] Oleinik O. A., Iosifian G. A., “On asymptotic behaviour at infinity of solutions in linear elasticity”, Arch. Ration. Mech. and Analys., 78 (1982), 29–53 | MR | Zbl

[12] Soviet Math. Dokl., 18:4 (1977), 1140–1143 | MR | MR | Zbl

[13] Lions J. L., Some methods in the mathematical analysis of systems and their control, Sci. Press, Beijing, China; Gordon and Breach, New York, 1981 | MR

[14] Iosifian G. A., Oleinik O. A., Shamaev A. S., Mathematical problems in elasticity and homogenization, Studies Math. and its Applic., 26, Elsevier, Amsterdam, 1992

[15] Math. U.S.S.R Sbornik, 48:4 (1984), 19–38 | DOI | MR

[16] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR

[17] Panasenko G. P., Saint Jean Paulin J., “An Asymptotic analysis of junctions of non-homogeneous elastic rods: boundary layers and asymptotic expansions”, Zh. vychisl. matem. i matem. fiz., 33:11 (1993), 1693–1721 | MR | Zbl

[18] Oleinik O. A., “O zadache Dirikhle dlya uravnenii ellipticheskogo tipa”, Matem. sb., 24(66):1 (1949), 3–14 | MR