Classical solvability of 1‐D Cahn–Hilliard equation coupled with elasticity
Irena Pawłow, Wojciech M. Zajączkowski · Mathematical Methods in the Applied Sciences · 2006
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.