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3-D viscous Cahn–Hilliard equation with memory

✍ Scribed by Monica Conti; Gianluca Mola

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
209 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We deal with the memory relaxation of the viscous Cahn–Hilliard equation in 3‐D, covering the well‐known hyperbolic version of the model. We study the long‐term dynamic of the system in dependence of the scaling parameter of the memory kernel ε and of the viscosity coefficient δ. In particular we construct a family of exponential attractors, which is robust as both ε and δ go to zero, provided that ε is linearly controlled by δ. Copyright © 2008 John Wiley & Sons, Ltd.

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Classical solvability of 1-D Cahn–Hillia
Classical solvability of 1-D Cahn–Hilliard equation coupled with elasticity
✍ Irena Pawłow; Wojciech M. Zaja̧czkowski 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 194 KB

## Abstract In this paper, we prove the classical solvability of a nonlinear 1‐D system of hyperbolic–parabolic type arising as a model of phase separation in deformable binary alloys. The system is governed by the nonstationary elasticity equation coupled with the Cahn–Hilliard equation. The exist