A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies

URN to cite this document:: urn:nbn:de:bvb:355-epub-538190
DOI to cite this document:: 10.5283/epub.53819

Garcke, Harald

; Knopf, Patrik

; Nürnberg, Robert ; Zhao, Quan

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 21 Feb 2023 06:58

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Abstract

We present a diffuse-interface model for the solid-state dewetting problem with anisotropic surface energies in Rd for d∈{2,3}. The introduced model consists of the anisotropic Cahn–Hilliard equation, with either a smooth or a double-obstacle potential, together with a degenerate mobility function and appropriate boundary conditions on the wall. Upon regularizing the introduced diffuse-interface ...