Homogenization of a parabolic signorini boundary value problem in a thick plane junction |
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Authors: | T A Mel’nyk Iu A Nakvasiuk |
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Institution: | 1.National Taras Shevchenko University of Kyiv,Kyiv,Ukraine |
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Abstract: | We consider a parabolic Signorini boundary value problem in a thick plane junction Ω
ε
which is the union of a domain Ω0 and a large number of ε−periodically situated thin rods. The Signorini conditions are given on the vertical sides of the thin rods. The asymptotic
analysis of this problem is done as ε → 0, i.e., when the number of the thin rods infinitely increases and their thickness tends to zero. With the help of the
integral identity method we prove a convergence theorem and show that the Signorini conditions are transformed (as ε → 0) in differential inequalities in the region that is filled up by the thin rods in the limit passage. Bibliography: 31
titles. Illustrations: 1 figure. |
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Keywords: | |
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