Well-posedness and Long-time Behavior for a Nonstandard Viscous Cahn–Hilliard System
✍ Scribed by Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
- Book ID
- 118192713
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 282 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0036-1399
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📜 SIMILAR VOLUMES
## Abstract We consider a singular perturbation of the generalized viscous Cahn–Hilliard equation based on constitutive equations introduced by Gurtin. This equation rules the order parameter ρ, which represents the density of atoms, and it is given on a __n__‐rectangle (__n__⩽3) with periodic boun
## 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