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.
