Functional Analysis and Applications Seminar 

07/07/2006, 15:15 — 16:15 — Room P3.10, Mathematics Building
Marina Dubatovskaya, Belarusian State University, Minsk, Belarus

Heat conduction in 2D-domains with symmetric inclusions: a model and reduction to a vector-matrix problem

The problem of heat conduction of 2D bounded composite material with symmetrically situated inclusions having different conductivity is reduced to a vector-matrix Riemann boundary value problem with a piecewise constant matrix. The proposed method generalizes an approach by V.V. Mityushev presented in the book by V.V. Mityushev and S.V. Rogosin on Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions , CRC Press, 1999. The talk is based upon joint work with Sergei Rogosin.