铁电薄圆柱体的连接
Junction of ferroelectric thin cylinders
AI总结：
本文通过三维非凸非局部变分模型和降维渐近分析，研究两个不同厚度的垂直连接铁电薄圆柱体，并根据厚度比极限导出细导线与薄膜连接的三种变分模型。
摘要：
本文从一个用于铁电材料电极化的非凸且非局部的三维变分模型出发，利用基于降维的渐近过程，分析了两个具有不同小厚度的垂直连接铁电薄圆柱体的连接现象。根据这两个厚度之比的极限，我们得到了细导线与薄膜连接的三种变分模型。
英文摘要：
In this paper, starting from a non-convex and nonlocal $3D-$variational model for the electric polarization in a ferroelectric material, and using an asymptotic process based on dimensional reduction, we analyze junction phenomena for two vertical joined ferroelectric thin cilynders with differents small thicknesses. We obtain three variational models for thin wire joined to a thin film, depending on the limit of the ratio between these two thicknesses.
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。
