### 数学学院珠峰论坛第362期：Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations

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

、主讲人

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.

9月16日（周四）14:30-15:30

【作者：张志越    来自：数学学院    编辑：新闻网工作室    责任编辑：王亦婷 蒋晓涵 　】

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