Unstable mode around the 3D boundary layer flow
报告专家：张筑 助理教授（香港理工大学）
报告时间：10月18日（周六）09:40-10:20
报告地点：国家天元数学西南中心516
报告摘要：
We study the stability properties of boundary layer-type shear flows for the three-dimensional Navier-Stokes equations in the limit of small viscosity 0<\nu\ll 1. When the streamwise and spanwise velocity profiles are linearly independent near the boundary, we construct a crossflow mode that exhibits rapid growth at the rate of e^{t/\sqrt{\nu}}. Our results reveal an analytic instability in the three-dimensional Navier-Stokes equations around generic boundary layer profiles. This instability arises from the interplay between spanwise flow and three-dimensional perturbations, and does not occur in purely two-dimensional flows.
专家简介：
张筑，2019年毕业于香港中文大学，2019-2022香港城市大学博士后，现于香港理工大学任助理教授。研究方向为流体力学边界层和动力学方程。成果发表在著名学术期刊 Arch. Ration. Mech. Anal. J. Math. Pure Appl. 等。现主持香港研究资助局项目两项。
邀请人：程建峰、何躏
