We study the asymptotic behavior of the solution of the Laplace equation in a domain perforated along the boundary. Assuming that the boundary microstructure is random, we construct the limit problem and prove the homogenization theorem. Moreover we apply those results to some spectral problems.
Homogenization in Domains Randomly Perforated Along the Boundary / Chechkin, G. A.; Chechkina, T. P.; D'Apice, C.; DE MAIO, Umberto. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 12,:4,(2009), pp. 713-730. [10.3934/dcdsb.2009.12.713]
Homogenization in Domains Randomly Perforated Along the Boundary
DE MAIO, UMBERTO
2009
Abstract
We study the asymptotic behavior of the solution of the Laplace equation in a domain perforated along the boundary. Assuming that the boundary microstructure is random, we construct the limit problem and prove the homogenization theorem. Moreover we apply those results to some spectral problems.File in questo prodotto:
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