论文标题
在Kobayashi的奇异极限-Warren - carter Energy
On a singular limit of the Kobayashi--Warren--Carter energy
论文作者
论文摘要
通过引入新的拓扑结构，在多维域中给出了Kobayashi-Warren-Carter能量的伽马极限的表示公式。关键步骤是研究单孔Modica-Mortola功能的伽马极限。此处介绍的收敛称为切片图收敛性，比传统的$ l^1 $收敛效果更好，并且通过切片参数将问题降低为一维设置。
By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi-Warren-Carter energy is given in a multi-dimensional domain. A key step is to study the Gamma limit of a single-well Modica-Mortola functional. The convergence introduced here is called the sliced graph convergence, which is finer than conventional $L^1$ convergence, and the problem is reduced to a one-dimensional setting by a slicing argument.
