Homogenization in domains randomly perforated along the boundary | Zendy

Г. А. Чечкин | Zendy; Tatiana P. Chechkina | Zendy; Ciro D’Apice | Zendy; Umberto De Maio | Zendy

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Homogenization in domains randomly perforated along the boundary

Author(s) -

Г. А. Чечкин,

Tatiana P. Chechkina,

Ciro D’Apice,

Umberto De Maio

Publication year - 2009

Publication title -

discrete and continuous dynamical systems - 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

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