A Nonlocal Parabolic System modelling Axially Symmetric
Thermoelastic Contact of Two Discs
A system of parabolic integro-differential equations modelling homogeneous
and isotropic elastic thin discs subject to axially symmetric temperature
fields and displacements is studied. Under some appropriate assumptions
the questions of existence, uniqueness and continuous dependence of the
solutions upon the data is demonstrated.
The main feature of our method in this paper is
that the difficulties associated with this physical problem
can been seen clearly and
overcome easily via the decoupling procedures and transformations.