### Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials

Elisabetta Rocca, Riccarda Rossi (2008)

Applications of Mathematics

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This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials. The corresponding parabolic-hyperbolic PDE system features a internal energy balance equation, governing the evolution of the absolute temperature $\vartheta $, an evolution equation for the phase change parameter $\chi $, including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable $\mathbf{u}$. The main novelty of the model is that...