论文标题
平均曲率流的固定集和渐近行为，并在平面中强迫
Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane
论文作者
论文摘要
我们考虑平均曲率方程的平坦流溶液，并在平面中使用强迫项。我们证明，对于每个常数强迫术语，固定组件都是由有限的磁盘结合了相等的半径和脱节闭合的。另一方面，对于每个有限的强迫术语切线磁盘都不是静止的。最后，在渐近恒定强迫术语的情况下，我们表明唯一可能的长时间限制集是由磁盘的脱节工会具有相等的半径和可能切线的。
We consider the flat flow solutions of the mean curvature equation with a forcing term in the plane. We prove that for every constant forcing term the stationary sets are given by a finite union of disks with equal radii and disjoint closures. On the other hand for every bounded forcing term tangent disks are never stationary. Finally in the case of an asymptotically constant forcing term we show that the only possible long time limit sets are given by disjoint unions of disks with equal radii and possibly tangent.
