Data di Pubblicazione:
2011
Citazione:
A first order phase transition with non-constant density / E. Bonetti, M. Fabrizio, M. Frémond. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 384:2(2011), pp. 561-577.
Abstract:
We introduce a new model for first order phase transitions accounting for non-constant densities of the phases during the process. The resulting initial and boundary value problem for a PDE system is recovered by thermodynamical principles. The resulting system presents some singularities and strong nonlinearities accounting for internal constraints, ensuring in particular the positivity of the pressure and the temperature. Physical consistency for the order parameter comes from a maximum principle argument. Existence of a weak solution is proved by a regularization-passage to the limit procedure.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Existence result; First order phase transitions; Non-constant densities; Analysis; Applied Mathematics
Elenco autori:
E. Bonetti, M. Fabrizio, M. Frémond
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