Open AccessHomogenization in domains randomly perforated along the boundary
Author(s) -
Г. А. Чечкин,
T. P. Chechkina,
Ciro D’Apice,
Umberto De Maio
Publication year - 2009
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2009.12.713
Subject(s) - homogenization (climate) , mathematics , boundary value problem , mathematical analysis , asymptotic homogenization , boundary (topology) , microstructure , materials science , composite material , algorithm , composite number , biodiversity , ecology , biology
We study the asymptotic behavior of the solution of the Laplaceequation in a domain perforated along the boundary. Assuming that theboundary microstructure is random, we construct the limit problem and provethe homogenization theorem. Moreover we apply those results to some spectralproblems