Well-posedness results for a model of damage in thermoviscoelastic materials
Elena Bonetti, Giovanna Bonfanti (2008)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials”
Well-posedness results for a model of damage in thermoviscoelastic materials
Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system
Elisabetta Rocca (2005)
Applications of Mathematics
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This work is concerned with the study of an initial boundary value problem for a non-conserved phase field system arising from the Penrose-Fife approach to the kinetics of phase transitions. The system couples a nonlinear parabolic equation for the absolute temperature with a nonlinear hyperbolic equation for the phase variable , which is characterized by the presence of an inertial term multiplied by a small positive coefficient . This feature is the main consequence of supposing...
A priori estimates for solutions of spinodal decomposition problem.
Affouf, Mahmoud (2005)
Applied Mathematics E-Notes [electronic only]
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On a conserved Penrose-Fife type system
Gianni Gilardi, Andrea Marson (2005)
Applications of Mathematics
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We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.