The BCC lattice in a long range interaction system
发布人: 曹思圆   发布时间: 2023-05-23   浏览次数: 10

*时间:2023年5月26日 14:30-15:30

*地点:数学楼102

*主讲人:任晓峰 教授(乔治华盛顿大学)

*主持人:叶东 教授


*讲座内容简介:


While the hexagonal lattice is ubiquitous in two dimensions, the body centered cubic lattice and the face centered cubic lattice are both commonly observed in three dimensions. A geometric variational problem motivated by the diblock copolymer theory consists of a short range interaction energy and a long range interaction energy. In three dimensions, and when the long range interaction is given by the nonlocal operator $(-\Delta)^{-3/2}$, it is proved that the body centered cubic lattice is the preferred structure. 


*主讲人简介:


任晓锋,乔治华盛顿大学教授,1994年在Minnesota大学获得博士学位。主要从事几何变分、偏微分方程、材料力学、生物数学等领域的研究。在Comm. Math. Phys, Arch. Ration. Mech. Anal, Trans. Amer. Math. Soc等国际一流学术期刊上发表学术论文60余篇,被引用超过1500次。