一、题目

Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations

二、主讲人

訾瑞昭

三、摘要

Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on $\mathbb{T}\times\mathbb{R}\times\mathbb{T}$. We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navier-Stokes equations around the Couette flow $(y, 0, 0)^\top$. Moreover, the lift-up phenomenon is also shown in this paper. Compared with the 3D incompressible Navier-Stokes equations [Ann. of Math., 185(2017), 541--608], the lift-up effect here is stronger due to the loss of the incompressible condition. This is based on a jointwork with Lan Zeng and Zhifei Zhang.

四、主讲人简介

訾瑞昭，副教授、硕士生导师、华中师范大学首批“桂子青年学者”。主要从事流体中的偏微分方程的解的适定性与稳定性的研究。在Archive for Rational Mechanics and Analysis, Mathematische Annalen, Journal of Functional Analysis, Annales de l'Institut Henri Poincaré–Analyse non linéaire, SIAM Journal on Mathematical Analysis, Nonlinearity, Journal of Differ ential Equations等SCI期刊上发表论文20余篇。先后主持国家自然科学基金青年科学基金项目及面上项目各一项。

五、邀请人

陶涛 数学学院副教授

六、时间

9月16日（周四）14:30-15:30

七、地点

腾讯会议，ID：522 189 159

八、主办方

山东大学数学学院