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Miranville, A. and Quintanilla, R. (2009) A Generalization of the Caginalp Phase-Field System Based on the Cattaneo Law. Nonlinear Analysis: Theory, Methods & Applications, 71, 2278-2290.
https://doi.org/10.1016/j.na.2009.01.061

has been cited by the following article:

• 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.