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Homogenization of the equations modeling the statics and the dynamics of an incompressible porous medium

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The paper contains the construction and justification of the homogenized equations modeling the statics and the dynamics of an incompressible porous medium under the Neumann data on the boundaries of the holes, and the Dirichlet data on the external boundary. Bibliography: 12 titles.

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Authors
  1. N. S. Bakhvalov
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  2. M. E. Eglit
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Additional information

Dedicated to O. A. Oleinik

This research has been supported by INTAS (Grant INTAS-93-2716) and by the International Science Foundation (Grant M25300).

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 19, pp. 000-000. 0000.

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Bakhvalov, N.S., Eglit, M.E. Homogenization of the equations modeling the statics and the dynamics of an incompressible porous medium. J Math Sci 85, 2415–2427 (1997). https://doi.org/10.1007/BF02355847

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  • DOI: https://doi.org/10.1007/BF02355847

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