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An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model

Garcke, Harald and Kraus, Christiane (2010) An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.

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Abstract

We consider the sharp interface limit of a diffuse phase field model with prescribed total mass taking into account a spatially inhomogeneous anisotropic interfacial energy and an elastic energy. The main aim is the derivation of a weak formulation of an anisotropic, inhomogeneous, elastically modified Gibbs–Thomson law in the sharp interface limit. To this end we show that one can pass to ...

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Item Type:Article
Date:2010
Institutions:Mathematics > Prof. Dr. Harald Garcke
Identification Number:
ValueType
10.1002/pamm.201010252DOI
Classification:
NotationType
82B26MSC
49Q20MSC
Keywords:Van der Waals–Cahn–Hilliard energy, singular perturbations, anisotropic and inhomogeneous interfacial energy, elasticity, Gibbs–Thomson law.
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Eva Ruetz
Deposited On:23 Mar 2010 08:12
Last Modified:13 Mar 2014 13:08
Item ID:13608
Owner Only: item control page

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