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Strong solvability of 3-D Cahn–Hilliard system in elastic solids

✍ Scribed by Irena Pawłow; W. M. Zaja̧czkowski

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
287 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we prove the existence and uniqueness of a strong solution to a 3‐D model of phase separation in elastic solids. The model has the form of an initial‐boundary‐value problem for a nonlinear coupled system of hyperbolic–parabolic type. The key idea of the proof is based on the analysis of the system once‐ and twice differentiated with respect to time variable. The paper develops results of the previous work (Top. Meth. Nonlin. Anal., in press). Copyright © 2007 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

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