东北师范大学数苑大讲堂——3-D anisotropic vs classical incompressible Navier-Stokes equations-东北师范大学数学与统计学院

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东北师范大学数苑大讲堂——3-D anisotropic vs classical incompressible Navier-Stokes equations

时间：2026年07月20日 16:09 点击数：

报告人：张平

报告地点：人民大街校区数学与统计学院619大应用数学实验室

报告时间：2026年08月03日(星期一)15:30-16:30

邀请人：张凯军

报告摘要：

张平，中国科学院院士，国际数学家大会45分钟报告人，现任中科院数学与系统科学研究院院长，研究员。他是国际偏微分方程领域的著名数学家，曾获国家杰出青年科学基金、国家自然科学二等奖、中国数学会陈省身奖等荣誉。

主讲人简介：

In this talk, we begin by reviewing some classical results on the existence and regularity theory of the three-dimensional incompressible Navier--Stokes system (denoted by $(NS)$). We then present our results on the global well-posedness of the three-dimensional anisotropic Navier--Stokes system ($(ANS)$), which has dissipation only in the $x_1$ and $x_2$ directions. In the third part of this article, we establish regularity criteria and well-posedness results for the system $(NS)$. We emphasize that the proofs of these results rely essentially on the anisotropic analysis developed in our study of $(ANS)$. Finally, we present our results on lower bound estimates for the analyticity radius of solutions to both $(NS)$ and $(ANS)$.