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Found 9 Documents (Results 1–9)

Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. (English. Russian original) Zbl 1428.35031

Dokl. Math. 99, No. 3, 245-251 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 1, 12-19 (2019).
MSC:  35B27 35K20
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Homogenization of solutions of the Poisson equation in a domain perforated along a hypersurface, with mixed boundary conditions on the boundary of the cavities. (English. Russian original) Zbl 0921.35015

Trans. Mosc. Math. Soc. 1998, 135-157 (1998); translation from Tr. Mosk. Mat. O.-va 59, 150-174 (1998).
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On homogenization of the mixed boundary value problem for the heat equation in a domain whose part contains channels arranged in a periodic way. (English. Russian original) Zbl 0971.35012

J. Math. Sci., New York 97, No. 3, 4014-4026 (1999); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 27-47 (1997).
MSC:  35B27 35K05 80M40
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Averaging of the solutions of the Dirichlet problem in a partly perforated general type domain of nonperiodic structure. (English. Russian original) Zbl 0872.35011

Mosc. Univ. Math. Bull. 50, No. 2, 46-52 (1995); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 2, 49-55 (1995).
MSC:  35B27 35J25
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