On the Caginalp phase‐field systems with two temperatures and the Maxwell–Cattaneo law |
| |
| Authors: | Alain Miranville Ramon Quintanilla |
| |
| Affiliation: | 1. Laboratoire de Mathématiques et Applications, Université de Poitiers, UMR CNRS 7348 ‐ SP2MI, Boulevard Marie et Pierre Curie ‐ Téléport 2, F‐86962 Chasseneuil Futuroscope Cedex, France;2. Departament de Matemàtiques, ESEIAAT‐UPC, Terrassa, Barcelona, Spain |
| |
| Abstract: | Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase‐field systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain well‐posedness results and study the dissipativity of the associated solution operators. Copyright © 2016 John Wiley & Sons, Ltd. |
| |
| Keywords: | Caginalp systems Maxwell‐Cattaneo law two temperatures well‐posedness dissipativity |
|
|
