报告题目：Nonlinear stability threshold for compressible Couette flow

报告时间：2024-10-18   15:00-16:00

报  告 人 ：黄飞敏  研究员  （中国科学院数学与系统科学研究院）

报告地点：理学院东北楼四楼报告厅（404）

Abstract：This talk concerns the Couette flow for 2-D compressible Navier-Stokes equations (N-S) in an infinitely long flat torus Torus×R. Compared to the incompressible flow, the compressible Couette flow has stronger lift-up effects and weaker dissipation. To the best of our knowledge, there has no work on the nonlinear stability in the cases of high Reynolds number until now and only linear stability was known. In this talk, we will prove the nonlinear stability of 2-D compressible Couette flow in Sobolevspace at high Renoldsnumber. Moreover, we also show the enhanced dissipation phenomenon and stability threshold for the  compressible Couette flow.