讲座报告
讲座报告
当前位置:

【数理讲坛】From fractional Allen-Cahn equation to nonlocal minimal surfaces

作者:     发布时间:2024年10月31日 17:57     浏览:
报告人:王克磊
时 间:2024-11-07 14:00:00
地 点:腾讯会议(ID: 380-645-916)
报告摘要:I will present some results on the asymptotic behavior of arbitrary solutions of a fractional Allen-Cahn equation as the usual small parameter goes to zero. In the limit solutions subconverge to stationary nonlocal minimal surfaces. Regularity issues for stationary nonlocal minimal surfaces will also be discussed. This is based on a joint work with Yannick Sire and Vincent Millot.

王克磊,2010年博士毕业于中科院数学所,现为武汉大学数学与统计学院教授,研究兴趣主要在于椭圆与抛物型偏微分方程的几何与定性性质方面,尤其是与几何测度论问题相关的奇性分析问题,例如相位分离模型及其极限自由边界问题、非线性椭圆方程的稳定解与有限Morse指标解、Allen-Cahn方程的De Giorgi猜想及有限Morse指标解的分类问题等。

下一条:【数理讲坛】 The full viscous quantum hydrodynamic system in one dimensional space