TITLE:
A Conserved Phase-Field Model Based on Microconcentrations
AUTHORS:
Armel Judice Ntsokongo, Narcisse Batangouna, Christian Tathy
KEYWORDS:
Conserved Phase-Field Model, Microconcentrations, Neumann Boundary Conditions, Well-Posedness, Passage to the Limit, Global Attractor, Numerical Simulations
JOURNAL NAME:
Applied Mathematics,
Vol.16 No.3,
March
28,
2025
ABSTRACT: In this article, we consider the conserved phase-field model based on microconcentrations. In particular, we prove the well-posedness to this model and then prove the convergence of the solutions to those of the classical conserved phase-field model as a small parameter goes to zero, on finite time intervals. We also prove the existence of global attractor and we finally give some numerical simulations.