学术报告

Rigidity of the Navier-Stokes Equations

阅读次数:1037

题目:Rigidity of the Navier-Stokes Equations
报告人:雷震 教授 (复旦大学 数学科学学院)
地点:致远楼101室
时间:2019年6月21日下午4:00--5:00
摘要:It has been an old and challenging problem to classify bounded ancient solutions of the incompressible Navier-Stokes equations, which could play a crucial role in the study of global regularity theory. In the works (see the references), the authors made the following conjecture: For the 3D axially symmetric Navier Stokes equations, bounded mild ancient solutions are constants. In this article, we solve this conjecture in the case that $u$ is periodic in $z$. To the best of our knowledge, this seems to be the first result on this conjecture without unverified decay conditions. It also shows that nontrivial periodic solutions are not models of possible singularities  or high velocity regions. Some partial results in the non-periodic case is also given.
报告人介绍: 雷震教授是国家杰出青年基金获得者,教育部长江特聘教授,目前担任复旦大学数学科学学院副院长。

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