| Abstract: | We construct and justify the asymptotics (as ε → +0) of a solution of the mixed boundary-value problem for the Poisson equation in the domain obtained by joining two sets Ω+ and Ω- by a large number of thin (of width O (ε)) curvilinear strips (a hub and a rim with a large number of spokes). As a resulting limit problem describing the principal terms of exterior expansions (in Ω± and in the set ω occupied by the strips) we take the problem of conjugating the partial differential equations and an ordinary differential equation depending on a parameter. Bibliography: 16 titles; Illustrations: 1 figure. Translated fromProblemy Matematicheskogo Analiza, No. 14, 1995, pp. 63–90. |
