Abstract
Based on the thermodynamic variation, we rigorously derive a sharp-interface model for solid-state dewetting of thin films on a flat substrate under the assumption that the morphology of thin film is axisymmetric. The governing equations for the sharp-interface model belong to fourth-order geometric evolution partial differential equations, and we rigorously prove that the total volume of the thin film is conserved and the total free energy is dissipative during the evolution. Furthermore, we propose a parametric finite element method for solving the above sharp-interface model. Extensive numerical results demonstrate the high performance of the numerical method and capture many significant morphological evolution features for solid-state dewetting of thin films with axisymmetric geometry.
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