报告题目：Well-posedness of damped Navier-Stokes equations
报 告 人：于幻（北京信息科技大学）
报告时间：2022年8月10日 9:30开始
在线报告：腾讯会议ID：587-214-797
报告摘要：In this talk, the three-dimensional Navier-Stokes equations with damping term $|u|^{β-1}u$ is considered. First, I will present the existence and uniqueness of axisymmetric solution for any $1≤β≤ 7/3$, by an elementary and clear method. Second, I will prove that the weak solutions decay to zero in $L^2(R^3)$ as time tends to infinity for any $β≧1$, by developing local-in-space estimate for weak solutions. Besides, some decay properties in spatial variables for weak solutions are established.
报告人简介：于幻，博士，北京信息科技大学副教授。主要从事流体方程的数学理论研究，在Archive for Rational Mechanics and Analysis, Journal of Functional Analysis, Journal of Differential Equations, Nonlinearity, Asymptotic Analysis等著名刊物发表学术论文10余篇。曾先后访问普林斯顿大学，剑桥大学，香港中文大学进行学术交流。主持国家自然科学基金一项，北京市自然科学基金一项。
