Geodesic
Variational Formulation of Phase Transitions with Glass Formation
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 1, pp. 75-111

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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},
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     volume = {Ser. 9, 6},
     number = {1},
     year = {2013},
     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/