Journal
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume 22, Issue 2, Pages 165-185Publisher
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/j.anihpc.2004.07.001
Keywords
Cahn-Hilliard systems; elasticity; regularity; elliptic-parabolic systems; phase transition
Categories
Ask authors/readers for more resources
Existence of solutions to a Cahn-Hilliard system taking elastic stresses into account is shown. The analysis is hindered by a logarithmic singularity and a quadratic term in the displacement gradient. This makes careful a priori estimates for both terms necessary. In particular, a global version of L-P-estimates for gradients of nonlinear elliptic systems is shown in order to control the logarithmic singularity. (c) 2005 Elsevier SAS. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
