Allen-Cahn systems with volume constraints

URN to cite this document:: urn:nbn:de:bvb:355-epub-138224
DOI to cite this document:: 10.5283/epub.13822

Garcke, Harald

; Nestler, Britta ; Stinner, Björn ; Wendler, Frank

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Date of publication of this fulltext: 24 Mar 2010 08:45

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Abstract

We consider the evolution of a multi-phase system where the motion of the interfaces is driven by anisotropic curvature and some of the phases are subject to volume constraints. The dynamics of the phase boundaries is modeled by a system of Allen-Cahn type equations for phase field variables resulting from a gradient flow of an appropriate Ginzburg-Landau type energy. Several ideas are presented ...