Abstract
Our aim, in this paper, is to study a generalization of the Caginalp phase-field system based on the Gurtin--Pipkin law with two temperatures for heat conduction with memory. In particular, we obtain well-posedness results and study the dissipativity, in terms of the global attractor with optimal regularity, of the associated solution operators. We also study the stability of the system as the memory kernel collapses to a Dirac mass.
Citation
Monica Conti. Stefania Gatti. Alaine Miranville. "A phase-field system with two temperatures and memory." Differential Integral Equations 30 (1/2) 53 - 80, January/February 2017. https://doi.org/10.57262/die/1484881219
