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On the smallest eigenvalue of the Stokes operator in a domain with fine-grained random boundary

✍ Scribed by V. V. Yurinsky


Book ID
106530174
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
218 KB
Volume
47
Category
Article
ISSN
0037-4466

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Homogenization of the Dirichlet problem
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We study the Dirichlet problem for a system of nonlinear elliptic equations of Leray-Lions type in a sequence of domains (s) , s = 1, 2, . . ., with fine-grained boundaries. Under appropriate structure conditions on the system and the geometry of (s) , we prove that the sequence of solutions of the