TY  - JOUR
AU  - Louvila, Grace Noveli Belvy
AU  - Ntsokongo, Armel Judice
AU  - Langa, Franck Davhys Reval
AU  - Mampassi, Benjamin
PY  - 2023
TI  - A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction
JO  - AIMS Mathematics
SP  - 14485
EP  - 14507
VL  - 8
IS  - 6
AB  - 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 global attractor and the existence of an exponential attractor.
UR  - https://doi.org/10.3934/math.2023740
DO  - 10.3934/math.2023740