Motion of a droplet by surface tension along the boundary
Motion of a droplet by surface tension along the boundary
复制标题
DOI：
10.1007/s005260000052
复制
发表时间：
2000-11
影响因子：
2.1
通讯作者：
N. Alikakos;Xinfu Chen;G. Fusco
中科院分区：
文献类型：
--
作者：
N. Alikakos;Xinfu Chen;G. Fusco
我们给出了与范德华自由能相容的最简单演化方程的极限动力学描述。我们建立了对应于一个小的、几乎半圆形的界面(液滴)的物理运动的稳定解的存在性，该界面(液滴)与区域的边界相交并朝着曲率具有局部极大值的点移动。我们的结果代表了Modica和Sternberg的平衡理论在流的Morse分解中的下一个动态水平的特殊扩展。
We give a description of the ultimate dynamics for the simplest evolution equation compatible with the Van der Waals Free Energy. We establish existence of stable sets of solutions corresponding to the physical motion of a small, almost semicircular interface (droplet) intersecting the boundary of the domain and moving towards a point where the curvature has a local maximum. Our results represent a particular extension of the Equilibrium theory of Modica and Sternberg to the next dynamic level in the Morse decomposition of the flow.