Well-posedness results for a model of damage in thermoviscoelastic materials |
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| Authors: | Elena Bonetti Giovanna Bonfanti |
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| Institution: | 1. Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy;2. Dipartimento di Matematica, Università di Brescia, Via Branze 38, 25123 Brescia, Italy |
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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. |
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| Keywords: | Damage Thermoviscoelasticity Well-posedness results Non-linear evolution inclusions |
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