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8-2吴文俊数学重点实验室讲座【林治武】

题目: Metastability of Kolmogorov flows.

报告人:林治武(Georgia Institute of Technology)

时间:8月2日下午4:00-5:00

地点:管理科研楼1318

摘要: We study the metastability of the shear flow sin y (Kolmogorov flow) for 2D Navier-Stokes equation in a torus. This flow is nonlinearly stable for the inviscid case. When the viscosity is small enough, it is shown that the non-shear part of the perturbations can decay at a much faster rate than the viscous time scale, for an intermediate but long time period. The result is true for the linearized NS equation with any initial vorticity in L2, and for the nonlinear NS equation with initial vorticity of the size of viscosity. We also consider the inviscid damping for two classes of shear flows by using the Hamiltonian structures of the linearized Euler equation. This is a joint work with Ming Xu.

 

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  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会