European Journal of Applied Mathematics

Papers

Fundamental solution in the linear theory of thermoviscoelastic mixtures

MERAB SVANADZEa1 and GERARDO IOVANEa2

a1 Faculty of Physics and Mathematics, Ilia Chavchavadze State University, I. Chavchavadze Avenue 32, 0179 Tbilisi, Georgia email: svanadze@gol.ge

a2 Dipartimento di Ingegneria dell'Informazione e Matematica Applicata dell'Università di Salerno, Via Ponte don Melillo, Fisciano 84084, Italy email: iovane@diima.unisa.it

Abstract

In this article the linear theory of thermoviscoelastic mixtures is considered. The fundamental solution of the system of linear-coupled partial differential equations of steady oscillations (steady vibrations) of the theory of thermoviscoelastic mixtures is constructed in terms of elementary functions and basic properties are established.

(Received June 14 2006)

(Revised February 27 2007)

(Online publication April 26 2007)