Eisenstein sums and functions and their application at the study of heat conduction in composites

Authors:

Sergei ROGOSIN, Marina DUBATOVSKAYA, Ekaterina PESETSKAYA

AMS Classification:

33E05, 34M05, 30E25, 35B27, 80A20

Keywords:

effective conductivity, Eisenstein function, Eisenstein number, Eisenstein-Rayleigh sum, functional equation, 2D composite material

Abstract:

The aims of this article is to discuss Eisenstein family of elliptic functions and Eisenstein-type sums and to present their application to the study of effective properties of doubly periodic 2D composite materials.

Download paper:

Rogosin&all-09.pdf

Vol. 4 (12), 2009