JournalsaihpcVol. 25, No. 6pp. 1187–1208

Well-posedness results for a model of damage in thermoviscoelastic materials

  • Elena Bonetti

    Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy

  • Giovanna Bonfanti

    Dipartimento di Matematica, Università di Brescia, Via Branze 38, 25123 Brescia, Italy
Well-posedness results for a model of damage in thermoviscoelastic materials cover
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Abstract

This paper deals with a phase transitions model describing the evolution of damage in thermoviscoelastic materials. The resulting system is highly non-linear, mainly due to the presence of quadratic dissipative terms and non-smooth constraints on the variables. Existence and uniqueness of a solution are proved, as well as regularity results, on a suitable finite time interval.

Cite this article

Elena Bonetti, Giovanna Bonfanti, Well-posedness results for a model of damage in thermoviscoelastic materials. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 6, pp. 1187–1208

DOI 10.1016/J.ANIHPC.2007.05.009