讲座题目：Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations

主办单位：三峡数学研究中心/理学院

报告专家：訾瑞昭博士（华中师范大学）

报告时间：2021年10月12日（周二）下午（14:30—16: 30）

报告地点：腾讯会议（ID：393 411 094）

专家简介：訾瑞昭副教授、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研究。在ARMA, Mathematische Annalen, JFA, Annales del'Institut Henri Poincaré–Analyse non linéaire, SIAM JMA, Nonlinearity, JDE等国际知名期刊上发表论文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。

报告摘要：Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on . We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navier-Stokes equations around the Couette flow . 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 joint work with Lan Zeng and Zhifei Zhang.