A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction

A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction

Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and uniqueness of solutions, the existence of the...

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Bibliographic Details
Main Authors: Grace Noveli Belvy Louvila, Armel Judice Ntsokongo, Franck Davhys Reval Langa, Benjamin Mampassi
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
conserved caginalp system
two temperatures
well-posedness
dissipativity
global attractor
exponential attractor
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023740?viewType=HTML

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