报告题目： Fractal dimension of potential singular points set in the Navier-Stokes equations
报 告 人： 王艳青 教授
工作单位： 郑州轻工业大学
报告时间： 2022-12-21(周三) 9:00-12:00
腾讯会议ID： 688-224-6427
报告摘要：
In this talk, we are concerned with the fractal dimension of potential singular points set in the Navier-Stokes equations under supercritical regularity. It is shown that 1-2s dimension Hausdorff measure of potential singular points set of suitable weak solutions satisfying for is zero, whose proof relies on Caffarelli-Silvestre's extension. Inspired by Baker-Wang's recent work, this further allows us to discuss the Hausdorff dimension of potential singular points set of suitable weak solutions if the gradient of the velocity under some supercritical regularity. This is joint work with Gang Wu.
报告人简介：
王艳青，郑州轻工业大学教授。在SIAM J. Math. Anal.， J. Differential Equations， Pacific J. Math.，Nonlinearity等知名期刊发表论文近30篇。主持国家自然科学基金面上项目1项。
