2019
Том 71
№ 11

All Issues

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

Mel'nik T. A.

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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).

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 11, pp 1737-1748.

Citation Example: Mel'nik T. A. Homogenization of a Singularly Perturbed Parabolic Problem in a Thick Periodic Junction of the Type 3:2:1 // Ukr. Mat. Zh. - 2000. - 52, № 11. - pp. 1524-1533.

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