✦ LIBER ✦

A transmission problem with imperfect contact for an unbounded multiply connected domain

✍ Scribed by L. P. Castro; E. Pesetskaya

Book ID: 102510400
Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 171 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1217

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✦ Synopsis

Abstract

An analysis of the flux of certain unbounded doubly periodic multiply connected domains with circle disjoint components is performed. This is done under generalized non‐ideal contact conditions on the boundary between domain components, which include analytic given data. A formula for the flux that depends on the conductivity of components, their radii, centers, the conductivity of the matrix, and also certain values of special Eisenstein functions is derived. Existence and uniqueness of solution to the problem are obtained by using a transmission problem with imperfect contact for analytic functions in corresponding Hardy spaces. Copyright © 2009 John Wiley & Sons, Ltd.

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