2014 | OriginalPaper | Buchkapitel
Cahn-Hilliard systems with polynomial chemical potentials coupled with damage processes and homogeneous elasticity
verfasst von : Christian Heinemann, Christiane Kraus
Erschienen in: Phase Separation Coupled with Damage Processes
Verlag: Springer Fachmedien Wiesbaden
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The present chapter covers certain existence results for Calm-Hilliard equations which are coupled with elasticity and partial damage processes (see Definition 3.4.1). We assume a binary mixture, a polynomial growth condition for the chemical potential, a homogeneous elastic energy density (with respect to the chemical concentration) and a
p
-Laplacian with
p
>
n
in the differential inclusion for the damage propagation law.