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Classical solvability of 1-D Cahn–Hilliard equation coupled with elasticity

✍ Scribed by Irena Pawłow; Wojciech M. Zaja̧czkowski

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
194 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 existence proof is based on the application of the Leray–Schauder fixed point theorem and standard energy methods. Copyright © 2006 John Wiley & Sons, Ltd.

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