论文标题
在有界域中，allen-cahn方程与传输项的收敛
Convergence of the Allen-Cahn equation with transport term in a bounded domain
论文作者
论文摘要
我们研究了有界域中的运输术语的艾伦-CAHN方程。我们证明，限制界面是带有传输项的平均曲率流，因为能量相对于时间均匀界定。使用此结果，我们显示了具有梯度向量场作为传输项的平均曲率流的存在。
We study the Allen-Cahn equation with respect to a transport term in a bounded domain. We prove that the limit interface is the mean curvature flow with the transport term, given the condition that the energy is uniformly bounded with respect to time. Using this result, we show the existence of the mean curvature flow with a gradient vector field as the transport term.
