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Homogenization of a Singularly Perturbed Parabolic Problem in a Thick Periodic Junction of the Type 3:2:1

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Abstract

We prove a convergence theorem and obtain asymptotic (as ε → 0) estimates for a solution of a parabolic initial boundary-value problem in a junction Ωε that consists of a domain Ω0 and a large number N 2 of ε-periodically located thin cylinders whose thickness is of order ε = O(N −1).

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  1. Kiev University, Kiev

    T. A. Mel'nik

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  1. T. A. Mel'nik
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Mel'nik, T.A. Homogenization of a Singularly Perturbed Parabolic Problem in a Thick Periodic Junction of the Type 3:2:1. Ukrainian Mathematical Journal 52, 1737–1748 (2000). https://doi.org/10.1023/A:1010483205109

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  • DOI: https://doi.org/10.1023/A:1010483205109

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