Differential and Integral Equations
- Differential Integral Equations
- Volume 30, Number 1/2 (2017), 53-80.
A phase-field system with two temperatures and memory
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.
Differential Integral Equations, Volume 30, Number 1/2 (2017), 53-80.
First available in Project Euclid: 20 January 2017
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Conti, Monica; Gatti, Stefania; Miranville, Alaine. A phase-field system with two temperatures and memory. Differential Integral Equations 30 (2017), no. 1/2, 53--80. https://projecteuclid.org/euclid.die/1484881219