M. Rochdi and M. Shillor,

We analyze a problem that describes dynamic contact between a thermoviscoelastic
body and a rigid foundation. The contact is modeled with normal damped response and
the SJK version of Coulomb's friction law. Frictional heat generation is taken fully into
account. The problem is set as a dynamic evolution system. The existence of a weak
solution is established by using regularization, the existence theorem for degenerate
evolution equations of Kuttler and a priori estimates. We prove the uniqueness of the
weak solution when the friction coefficient is sufficiently small.