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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1002/recl.19560750516

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1573-8795

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Averaging in Cascade Junctions with a “Wide” Trans

Authors: T P Chechkina
Publish Date: 2013/03/06
Volume: 190, Issue: 1, Pages: 157-169
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Abstract

We consider a boundaryvalue problem for the Poisson equation in a dense multilevel junction consisting of a body of the junction and many periodically situated thin rectangles connected with the body by a transmission layer with a periodic boundary It is supposed that the rectangles have finite lengths and the transmission layer has a small width that is much greater than the period Nonhomogeneous Neumann boundary conditions are imposed upon the boundary of the transmission layer An addition parameter of perturbation is included in these boundary conditions Averaged problems are constructed and convergence theorems for solution and energy integrals are proved as a function of that parameter

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