主 题: 第32期学术午餐会的通知——Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
报告人: Te Li (Peking University)
时 间: 2018-06-15 12:00-13:30
地 点: Room 1560, Sciences Building No. 1
各位数院研究生同学：
研究生学术午餐会是在学院领导的大力支持下，由研究生会负责组织的系列学术交流活动。午餐会每次邀请一位同学作为主讲人，面向全院各专业背景的研究生介绍自己科研方向的基本问题、概念和方法，并汇报近期的研究成果和进展，是研究生展示自我、促进交流的学术平台。
研究生会已经举办了三十一期活动，我们将于2018年6月15日周五举办第三十二期学术午餐会活动，欢迎感兴趣的老师和同学积极报名参加。
Bio: 李特，基础数学系16级博士，导师为章志飞教授，专业方向为偏微分方程及其应用，曾获校奖、国奖。
Abstract: In his famous 1883 paper, Reynolds investigated the transition from direct to sinuous motion of water forced through a straight smooth tube. His systematic study led to the identification of a dimensionless number, now called the Reynolds number, that essentially measures the ratio of forcing to viscous dissipation. He attempted to use this ratio to pinpoint the transition-in current terminology-from laminar to turbulent flow.
In this talk, we establish the pseudospectral bound for the linearized operator of the Navier-Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and the wave operator method, we prove the sharp enhanced dissipation rate for the linearized Navier-Stokes equations. As an application, we prove that if the initial velocity perturbation is less than the 7/4 power of the viscosity coefficient (where the -1 power of the viscosity coefficient is the Reynolds number), then the solution does not transition away from the Kolmogorov flow.
报名方式：请有意参加的老师在2018年6月14日（周四）中午12点前发送邮件至smsxueshu@126.com，我们将回复邮件和您确认，邮件报名方式仅限于老师，有意参加的同学请点击报名链接 https://www.wjx.top/jq/24305548.aspx，谢谢！
