美国Rutgers大学数学系李岩岩教授讲学通知

发稿时间:2016-07-13浏览次数:10

受哈工大国际合作处资助,应基叉院理学中心李莉邀请,美国Rutgers大学数学系李岩岩教授将来哈工大访问,并作学术报告。报告主要面向数学系师生,具体信息如下:

报告时间:7-15 (星期五), 下午3点到4点,诚意楼114

报告题目: Homogeneous solutions of stationary incompressible Navier-Stokes equations with singular rays

摘要: Landau discovered explicit (-1)-homogeneous solutions of 3-d stationary incompressible Navier-Stokes equations with precisely one singularity at the origin. These solutions are axisymmetric with no swirl. Sverak proved in 2006 that these are the only (-1)-homogeneous solutions with one singularity, while Gang Tian and Zhouping Xin proved in 1998 the result under an additional axisymmetry assumption on solutions. Sverak also proved that there are no such solutions in dimension bigger than 3.

We construct various (-1)-homogeneous solutions of stationary incompressible Navier- Stokes equations with finite singular rays. For instance, we obtain a three parameter family of (-1)-homogeneous, axisymmetric solutions with nonzero swirl of 3-d stationary incompressible Navier-Stokes equations which are singular only on a single ray. We will also present asymptotic behavior of general (-1)-homogeneous axisymmetric solutions near an isolated singular ray. This is a joint work with Li Li and Xukai Yan.

报告人简介:李岩岩教授,现任Rutgers大学数学系杰出教授,非线性分析研究中心主任,北京师范大学客座教授。李岩岩教授本科毕业于中国科学技术大学,中国科学院硕士毕业后,在纽约大学克朗所获得博士学位,师从著名的分析数学家Louis Nirenberg。主要从事偏微分方程、几何分析等方向的研究。

李教授是2012年美国数学会会士(Inaugural Class of Fellows);国际数学家大会45分钟报告人;斯隆科研奖获得者。李岩岩教授是偏微分方程,非线性分析领域非常活跃的专家,迄今为止发表了超过130SCI论文,担任多个国际杂志的主编或编委。受国际合作处委托,非常有幸邀请李岩岩教授来哈工大数学系访问并作报告,欢迎数学系及感兴趣的师生踊跃参加。