论文标题

非本地世界和古典世界之间的比较:最小的表面,相变和几何流量

A comparison between the nonlocal and the classical worlds: minimal surfaces, phase transitions, and geometric flows

论文作者

Dipierro, Serena

论文摘要

非本地世界带来了很多惊喜和奇迹。非本地世界的这些特殊特性通常是远程相互作用的结果,尤其是在存在几何结构和非线性现象的情况下,最终产生了各种新型模式。我们将简要讨论其中一些功能,重点是(非)局部最小表面,(非)局部相共存模型和(非)局部几何流量的情况。

The nonlocal world presents an abundance of surprises and wonders to discover. These special properties of the nonlocal world are usually the consequence of long-range interactions, which, especially in presence of geometric structures and nonlinear phenomena, end up producing a variety of novel patterns. We will briefly discuss some of these features, focusing on the case of (non)local minimal surfaces, (non)local phase coexistence models, and (non)local geometric flows.

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