𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uniqueness and long-time behavior for the conserved phase-field system with memory

✍ Scribed by Novick-Cohen, Amy; Laurençot, Philippe; Gilardi, Gianni; Colli, Pierluigi

Book ID
125860456
Publisher
American Institute of Mathematical Sciences
Year
1999
Tongue
English
Weight
210 KB
Volume
5
Category
Article
ISSN
1078-0947

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Exponential attractors for a conserved p
Exponential attractors for a conserved phase-field system with memory
✍ Stefania Gatti; Maurizio Grasselli; Vittorino Pata 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 172 KB

We consider a conserved phase-field system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The model consists of a parabolic integrodifferential equation, coupled with a fo

Stability of global and exponential attr
Stability of global and exponential attractors for a three-dimensional conserved phase-field system with memory
✍ Gianluca Mola 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## Abstract We consider a conserved phase‐field system on a tri‐dimensional bounded domain. The heat conduction is characterized by memory effects depending on the past history of the (relative) temperature ϑ, which is represented through a convolution integral whose relaxation kernel __k__ is a su

Well-posedness and long time behavior of
Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials
✍ Maurizio Grasselli; Alain Miranville; Vittorino Pata; Sergey Zelik 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 376 KB

## Abstract In this article, we study the long time behavior of a parabolic‐hyperbolic system arising from the theory of phase transitions. This system consists of a parabolic equation governing the (relative) temperature which is nonlinearly coupled with a weakly damped semilinear hyperbolic equat

Attractor for a conserved phase-field sy
Attractor for a conserved phase-field system with hyperbolic heat conduction
✍ Maurizio Grasselli; Vittorino Pata 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 153 KB

## Abstract We consider a conserved phase‐field system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The latter dependence is a law of Gurtin–Pipkin type, so that the eq