Geodesic
Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 1, pp. 55-64
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In this paper we prove existence, uniqueness, and continuous dependence for a one-dimensional time-dependent problem related to a thermo-mechanical model of structural phase transitions in solids. This model assumes the free energy depending on temperature, macroscopic deformation and also on the proportions of the phases. Here we neglect regularizing terms in the momentum balance equation and in the constitutive laws for the phase proportions. 
@article{RLIN_1991_9_2_1_a6,
     author = {Colli, Pierluigi},
     title = {Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {55--64},
     year = {1991},
     volume = {Ser. 9, 2},
     number = {1},
     zbl = {0745.73002},
     mrnumber = {MR1120123},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_1_a6/}
}
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Colli, Pierluigi. Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 1, pp. 55-64. http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_1_a6/