论文标题
表面扩散流的近似：二阶变异cahn- hilliard模型具有退化迁移率
Approximation of surface diffusion flow: a second order variational Cahn--Hilliard model with degenerate mobilities
论文作者
论文摘要
本文使用CAHN-Hilliard型模型来解决表面扩散流的近似。我们介绍并分析了一个新的二阶变分相模型，该模型将经典的cahn-hilliard能量与两个退化的迁移率相关联。该关联允许获得尖锐极限的近似值。在第二部分中，我们提出了一些简单有效的数值方案来近似解决方案，并提供了数值2D和3D实验，这些实验与其他Cahn-Hilliard模型相比说明了我们的模型的兴趣。
This paper tackles the approximation of surface diffusion flow using a Cahn--Hilliard-type model. We introduce and analyze a new second order variational phase field model which associates the classical Cahn--Hilliard energy with two degenerate mobilities. This association allows to gain an order of approximation of the sharp limit. In a second part, we propose some simple and efficient numerical schemes to approximate the solutions, and we provide numerical 2D and 3D experiments that illustrate the interest of our model in comparison with other Cahn--Hilliard models.
