中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

综合报告会

（Colloquium）

报告人：  邓 煜 博士 (Courant研究所， USA)

题  目：Instability of 2D Couette flow in low regularity spaces

时  间：2017.12.22(星期五) , 16:20-17:20

地  点：数学院南楼N913室

摘  要：

In 2013, Bedrossian and Masmoudi proved the stability and asymptotic stability of the Couette flow on T*R for small perturbations in Gevrey class G^(2-). Here, a natural question is whether this high regularity requirement can be relaxed. In this talk, I will present recent work joint with Nader Masmoudi that establishes the optimality of this Gevrey exponent, by proving instability of the Couette flow for small perturbations in any Gevrey class G^(2+). The main ingredients in the proof are: a detailed study of the "toy model" introduced in the work of Bedrossian -Masmoudi, carefully selected perturbations and higher order perturbations, and a combination of physical space and Fourier space techniques.