Author： Mel'nik T.A.
Publisher： Springer Publishing Company
ISSN： 0041-5995
Source： Ukrainian Mathematical Journal, Vol.52, Iss.11, 2000-11, pp. : 1737-1748
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Abstract
We prove a convergence theorem and obtain asymptotic (as → 0) estimates for a solution of a parabolic initial boundary-value problem in a junction Ω_ that consists of a domain Ω_0 and a large number N^2 of -periodically located thin cylinders whose thickness is of order = O(N^−1).
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