Existence and Uniqueness of Solution for Cahn-Hilliard Hyperbolic Phase-Field System with Dirichlet Boundary Condition and Regular Potentials

Abstract

Our aim in this paper is to study the existence and the uniqueness of the solutions for hyperbolic Cahn-Hilliard phase-field system, with initial conditions, Dirichlet boundary condition and regular potentials.

Existence and uniqueness of solution for Cahn-Hilliard hyperbolic phase field system with Dirichlet boundary conditions and polynomial potential

“…These systems model phase transition processus such as melting solidification processes and have studied ( see [1] and [9]) for a similar phase-field model with a nonlinear term. These Cahn-Hilliard phase-field systems are known as conserved phase-field system (see [7] and [14]) based on type III heat conduction and with two temperatures (see [13]), the authors have proven the existence and the uniqueness of the solutions, the existence of global attractor and exponential attractors. In [18], Ntsokongo and Batangouna have studied the following Cahn-Hillard hyperbolic phase-field system…”

“…In [13], Jean De Dieu Mangoubi and al. have studied the following Cahn-Hillard hyperbolic phase field system…”