@misc{Pawłow_Irena_Classical_2005, author={Pawłow, Irena}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2005}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={In this paper, the classical solvability of a nonlinear 1‐D system of hyperbolic–parabolic type arising as a model of phase separation in deformable binary alloys is proved . 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.}, type={Text}, title={Classical Solvability of 1-D Cahn-Hilliard Equation Coupled with Elasticity}, URL={http://rcin.org.pl/Content/139677/PDF/RB-2005-62.pdf}, keywords={Nonstationary elasticity, Phase separation, Równanie cahna-hilliarda, Cahn-hilliard equation, Leray-schauder theorem, Classical solvability}, }