Global existence and long-time behaviour for a singular integro-differential phase-field system
Articolo
Data di Pubblicazione:
2007
Citazione:
Global existence and long-time behaviour for a singular integro-differential phase-field system / E. Bonetti, E. Rocca. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 6:2(2007), pp. 367-387.
Abstract:
This paper deals with a singular integro-differential PDE system describing phase transitions in terms of nonlinear evolution equations for micromotions and for the entropy. The model is derived from a non-convex free energy functional, possibly accounting for thermal memory effects. After recovering a global existence result for a related initial and boundary value problem, the long-time behaviour of the solutions is investigated. In particular, it is proved that the elements of the ω-limit set (i.e. the cluster points) of the solution trajectories solve the steady state system which is naturally associated to the evolution problem.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
ω-limit; Long-time behaviour of solutions; Phase transitions; Singular integro-differential phase-field system
Elenco autori:
E. Bonetti, E. Rocca
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