The subject of the present paper consists in proving the convergence of a phase-field model, based on the entropy balance with memory, to phase relaxation. The well-posedness and the long-time behaviour of solutions for the nonlinear and singular phase-field system have been recently shown in [4, 5]. Here weprove the convergence of this solution to the solution of the corresponding phase relaxation problem, which turns also out to be unique and depend continuously on the data.
|Titolo:||Convergence of phase field to phase relaxation governed by the entropy balance with memory|
ROCCA, ELISABETTA (Ultimo)
|Data di pubblicazione:||2006|
|Parole Chiave:||phase transitions, phase relaxation, asymptotic analysis, nonlinear and singular system, continuous dependence, a priori estimates.|
|Settore Scientifico Disciplinare:||Settore MAT/05 - Analisi Matematica|
|Citazione:||Convergence of phase field to phase relaxation governed by the entropy balance with memory / G. GILARDI, E. ROCCA. - [s.l] : null, 2006.|
|Appare nelle tipologie:||08 - Relazione interna o rapporto di ricerca|