Axially symmetric volume constrained anisotropic mean curvature flow

作者：Palmer Bennett^*; Zhu Wenxiang

来源：Calculus of Variations and Partial Differential Equations, 2014, 50(3-4): 639-663.

DOI：10.1007/s00526-013-0650-4

We study the long time existence theory for a non local flow associated to a free boundary problem for a trapped non liquid drop. The drop has free boundary components on two horizontal plates and its free energy is anisotropic and axially symmetric. For axially symmetric initial surfaces with sufficiently large volume in comparison with their initial surface energy, we show that the flow exists for all time. Numerical simulations of the curvature flow are presented.

• 出版日期2014-7