A NONLOCAL PARABOLIC-SYSTEM MODELING AXIALLY-SYMMETRICAL THERMOELASTIC CONTACT OF 2 DISCS

A system of parabolic integro-differential equations modelling homogen eous and isotropic elastic thin discs subject to axially symmetric tem perature fields and displacements is studied. Under some appropriate a ssumptions the questions of existence, uniqueness, and continuous depe ndence of the solutions upon the data are demonstrated. The main featu re of our method in this paper is that the difficulties associated wit h this physical problem can be seen clearly and overcome easily via th e decoupling procedures and transformations. (C) 1997 Academic Press.