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New models of Cahn-Hilliard-Gurtin equations

✍ Scribed by M. Efendiev; A. Miranville

Publisher
Springer
Year
2004
Tongue
English
Weight
150 KB
Volume
16
Category
Article
ISSN
0935-1175

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📜 SIMILAR VOLUMES

Long time behavior of a singular perturb
Long time behavior of a singular perturbation of the viscous Cahn–Hilliard–Gurtin equation
✍ Ahmed Bonfoh; Maurizio Grasselli; Alain Miranville 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 317 KB 👁 1 views

## 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

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✍ Alain Miranville 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 387 KB

We derive in this Note a model of Cahn-Hilliard equation that takes into account the effects of internal microforces. This model is based on constitutive equations developed by M. Gurtin in [4]. We then obtain the existence and uniqueness of solutions and the existence of global attractors. 0 Academ