2007, 2007(Special): 824-833. doi: 10.3934/proc.2007.2007.824

Regular weak solutions to 3-D Cahn-Hilliard system in elastic solids

1. 

System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw

2. 

Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warsaw, Poland

Received  October 2006 Revised  February 2007 Published  September 2007

In this paper we prove the existence and regularity of weak solutions to a three-dimensional (3–D) Cahn-Hilliard system coupled with nonstationary elasticity. Such nonlinear parabolic-hyperbolic system arises as a model of phase separation in deformable alloys.
Citation: Irena Pawłow, Wojciech M. Zajączkowski. Regular weak solutions to 3-D Cahn-Hilliard system in elastic solids. Conference Publications, 2007, 2007 (Special) : 824-833. doi: 10.3934/proc.2007.2007.824
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