On the Existence of the Global Smooth Process for One-dimensional Nonlinear Thermoviscoelastic Materials with Fixed and Thermally Insulated Endpoints

Abstract

The system of balance laws of mass, momentum and energy for one- dimensional nonlinear thermoviscoelastic material with fixed and thermally insulated endpoints is considered, and the problem of whether there exists a globally defined smooth thermoviscoelastic process is sloved, i.e there exists such a process.