Phase transitions with Allen-Cahn mean curvature bounded in Lp

活动时间:2023-11-07 18:00

活动地点:Zoom Meeting ID: 653 289 5480  Passcode: 123456

主讲人:王盛文

主讲人中文简介:

王盛文老师现任英国伦敦玛丽女王大学数学学院 Lecturer, 其本科毕业于浙江大学数学学院,博士毕业于约翰霍普金斯大学,曾在伦敦玛丽女王大学和华威大学从事博士后研究。王老师主要从事几何分析,特别是平均曲率流等方向的研究,研究论文发表于 J. Reine Angew. Math.(Crelle's Journal ), Calc. Var. Partial Differential Equations,  Int. Math. Res. Not. , Comm. Anal. Geom. 等国际权威数学杂质。

活动内容摘要:

We consider the varifolds associated to a phase transition problem whose first variation of Allen-Cahn energy is Lp integrable with respect to the energy measure. We can see that the Dirichlet and potential part of the energy are almost equidistributed. After passing to the phase field limit, one can obtain an integer rectifiable varifold with bounded Lp mean curvature. This is joint work with Huy Nguyen.

主持人:查冬兵