TITLE:
A Phase-Field Model Based on Type III Heat Conduction
AUTHORS:
Armel Judice Ntsokongo, Serge Alexis Nkala Bibila, Narcisse Batangouna, Louis Richard Mpeka
KEYWORDS:
Phase-Field System, Type III Heat Conduction, Neumann Boundary Conditions, Well-Posedness, Dissipativity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.4,
April
25,
2025
ABSTRACT: Our aim in this article is to study a phase-field system based on type III heat conduction. In particular, we prove the existence and uniqueness of solutions and then the dissipativity of the associated solution operators.