Abstract
This article deals with the asymptotic behavior as ε → 0 of the solution {u ɛ, p ɛ} of the plane Stokes problem in a perforated domain. The limit problem is constructed and estimates for the speed of convergence are obtained. It is shown that the speed of convergence is of order O(ε 3/2).
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References
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 25, pp. 3–20, 2005.
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Averyanov, A.N. On the asymptotic expansion of the solution of the plane Stokes problem in a perforated domain. J Math Sci 135, 2603–2615 (2006). https://doi.org/10.1007/s10958-006-0132-8
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DOI: https://doi.org/10.1007/s10958-006-0132-8