具有快速振荡强迫项的晶体演化
Crystalline evolutions with rapidly oscillating forcing terms
摘要:
我们考虑的演化结晶曲率的一个平面集在分层介质中,建模的周期性强迫项。我们描述的极限演化规律的振荡周期趋于零。即使模型很简单,极限演化问题也相当丰富,我们讨论了一些性质,如唯一性、比较原理和钉扎/脱钉现象。
英文摘要:
We consider the evolution by crystalline curvature of a planar set in a stratified medium, modeled by a periodic forcing term. We characterize the limit evolution law as the period of the oscillations tends to zero. Even if the model is very simple, the limit evolution problem is quite rich, and we discuss some properties such as uniqueness, comparison principle and pinning/depinning phenomena.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。