论文标题
线奇点的线张限制和在混合增长情况下的应用
Line-tension limits for line singularities and application to the mixed-growth case
论文作者
论文摘要
我们研究了线张比尺度中三个维度的位错模型的变异模型。我们提出了一种统一的方法，该方法允许在无穷大和奇异线附近的奇异性下以亚属生长的亚次级生长处理能量。我们表明，通过伽马收敛的渐近学与能量和正则化程序的特定选择无关。
We study variational models for dislocations in three dimensions in the line-tension scaling. We present a unified approach which allows to treat energies with subquadratic growth at infinity and other regularizations of the singularity near the dislocation lines. We show that the asymptotics via Gamma convergence is independent of the specific choice of the energy and of the regularization procedure.
