论文标题
曲线缩短方程与时间相关的迁移率与晶粒边界运动有关
A curve shortening equation with time-dependent mobility related to grain boundary motions
论文作者
论文摘要
提出了与晶界演变有关的曲线缩短方程。该方程是通过应用最大耗散原理来从晶界能得出的。考虑了解决方案的梯度估计和较大的时间渐近行为。为了证明这些结果，一种关键成分是一种新的加权单调性公式，结合了时间依赖性的迁移率。
A curve shortening equation related to the evolution of grain boundaries is presented. This equation is derived from the grain boundary energy by applying the maximum dissipation principle. Gradient estimates and large time asymptotic behavior of solutions are considered. In the proof of these results, one key ingredient is a new weighted monotonicity formula that incorporates a time-dependent mobility.
