Quasistatic evolution problems with nonconvex energies: a Young measure approach.
Résumé
Some quasistatic evolution problems for a phase transition model with nonconvex energies are studied in the generalized framework of Young measures. More in details, an existence result for a generalized notion of globally stable quasistatic evolution is proved both in the continuous and in the discrete case (infinite many/ finite many phases); an existence result for a notion of approximable evolution is also provided via a sort of vanishing viscosity.
Domaines
Mathématiques [math]
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