1 citations · 1 across the 4 of their papers we have counts for
5 papers
Riemann boundary value problem with piecewise constant matrix
Vladimir V. Mityushev
The vector-matrix Riemann boundary value problem for the unit disk with piecewise constant matrix is constructively solved by a method of functional equations. By functional equati…
Effective conductivity of a random suspension of highly conducting spherical particles
Vladimir Mityushev, Wojciech Nawalaniec
Randomly distributed non-overlapping perfectly conducting spheres are embedded in a conducting matrix with the concentration of inclusions . Jeffrey (1973) suggested an analytic…
Lattice sums for polyanalytic functions
Piotr Drygas, Vladimir Mityushev
In 1892, Lord Rayleigh estimated the effective conductivity of rectangular arrays of disks and proved, by means of the Eisenstein summation, that the lattice sum is equal to…
Exact and "exact" formulae in the theory of composites
Igor Andrianov, Vladimir Mityushev
The effective properties of composites and review literature on the methods of Rayleigh, Natanzon--Filshtinsky, functional equations and asymptotic approaches are outlined. In conn…
A relation on the effective conductivity of composites
Vladimir Mityushev
Consider a 2D composites with non-overlapping equal inclusions imbedded in a host material of the normalized unit conductivity. The conductivity of inclusions takes two values $σ_1…