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.
Convergence of phase field to phase relaxation governed by the entropy balance with memory / G. Gilardi, E. Rocca. - [s.l] : null, 2006.
Convergence of phase field to phase relaxation governed by the entropy balance with memory
E. RoccaUltimo
2006
Abstract
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.
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