轴对称固体去湿的锐界面模型及其数值逼近
A sharp-interface model and its numerical approximation for solid-state dewetting with axisymmetric geometry
摘要：
基于热力学变分，我们严格推导了圆柱对称形式的平面衬底上固态去湿的锐界面模型。该模型的控制方程属于四阶几何曲线演化偏微分方程，具有适当的边界条件，使系统的总体积守恒和总能量是耗散的时间演化过程中。我们提出了一个变分制定的尖锐的界面模型，然后应用参数有限元法有效地解决它。大量的数值模拟结果最后展示的形态特征，固态去湿。
英文摘要：
Based on the thermodynamic variation, we rigorously derive the sharp-interface model for solid-state dewetting on a flat substrate in the form of cylindrical symmetry. The governing equations for the model belong to fourth-order geometric curve evolution partial differential equations, with proper boundary conditions such that the total volume of the system is conserved and the total energy is dissipative during the time evolution. We propose a variational formulation for the sharp-interface model and then apply the parametric finite element method for solving it efficiently. Extensive numerical simulation results are presented lastly to demonstrate the morphological characteristics for solid-state dewetting.
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