Geodesic
Variational Formulation of Phase Transitions with Glass Formation
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 1, pp. 75-111
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In the framework of the theory of nonequilibrium thermodynamics, phase transitions with glass formation in binary alloys are here modelled as a multi-non-linear system of PDEs. A weak formulation is provided for an initial- and boundary-value problem, and existence of a solution is studied. This model is then reformulated as a minimization problem, on the basis of a theory that was pioneered by Fitzpatrick [MR 1009594]. This provides a tool for the analysis of compactness and structural stability of the dependence of the solution(s) on data and operators, via De Giorgi's notion of $\gamma$-convergence. This latter issue is here dealt with in some simpler settings. 
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     author = {Visintin, Augusto},
     title = {Variational {Formulation} of {Phase} {Transitions} with {Glass} {Formation}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {75--111},
     year = {2013},
     volume = {Ser. 9, 6},
     number = {1},
     zbl = {1276.35007},
     mrnumber = {3077114},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_1_a3/}
}
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Visintin, Augusto. Variational Formulation of Phase Transitions with Glass Formation. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 1, pp. 75-111. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_1_a3/