Weak solutions to 3-D Cahn-Hilliard system in elastic solids
Keywords
Cahn-Hilliard, nonstationary elasticity, phase separation, weak solutionsAbstract
In this paper we prove the existence and some time 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. The regularity result is based on the analysis of time differentiated problem by means of the Faedo-Galerkin method. The obtained regularity provides a first step to the proof of strong solvability of the problem to be presented in a forthcoming paper [I. Pawłow, W. M. Zajączkowski, < i> Strong solvability of 3-D Cahn-Hilliard system in elastic solids< /i> , Math. Methods Appl. Sci.].Downloads
Published
2008-12-01
How to Cite
1.
PAWŁOW, Irena and ZAJĄCZKOWSKI, Wojciech M. Weak solutions to 3-D Cahn-Hilliard system in elastic solids. Topological Methods in Nonlinear Analysis. Online. 1 December 2008. Vol. 32, no. 2, pp. 347 - 377. [Accessed 19 April 2024].
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