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.
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 ...
Export bibliographical data
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Van der Waals–Cahn–Hilliard energy, singular perturbations, anisotropic and inhomogeneous interfacial energy, elasticity, Gibbs–Thomson law.|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||23 Mar 2010 08:12|
|Last Modified:||13 Mar 2014 13:08|