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

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Publication:1280076
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DOI10.1007/BF02355847zbMath0921.35016MaRDI QIDQ1280076

N. S. Bakhvalov, M. E. Eglit

Publication date: 15 March 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

error estimatesasymptotic expansionKorn inequalityDirichlet dataNeumann data


Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)


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Cites Work

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  • On the application of the homogenization theory to a class of problems arising in fluid mechanics
  • Non-homogeneous media and vibration theory
  • On equivalent norms in subspaces of \(L_2\)
  • Averaging of the equations of the dynamics of composites of slightly compressible elastic components
  • On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity


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