Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length

DOI10.1070/SM2001V192N10ABEH000606zbMath1041.35014OpenAlexW2005199122MaRDI QIDQ4807233

Tatiana A. Shaposhnikova

Publication date: 14 July 2003

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2001v192n10abeh000606

zbMATH Keywords

homogenizationbiharmonic equationtwo-dimensional domainpartially perforated domainfive different types of asymptotic behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions ⋮ On the homogenization of some boundary-value problems in domains with thin channels

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