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Averaging in perforated random domains of general type. (English. Russian original) Zbl 0801.60058
Math. Notes 53, No. 1, 30-42 (1993); translation from Mat. Zametki 53, No. 1, 41-58 (1993).
The author proves a general result on the averaging in perforated random domains. Using this result the author proves averaging of variational boundary value problems, and obtains a complete solution to a problem on the existence of the effective conductivity. Also the averaging and the central limit theorem for the diffusion equation in random perforated domain are proved.

MSC:
60H99 Stochastic analysis
35R60 PDEs with randomness, stochastic partial differential equations
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
60F05 Central limit and other weak theorems
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References:
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