关于举行华南师范大学丁时进教授学术报告的通知

报告题目：Stability analysis for the incompressible Navier-Stokes equations with

Navier boundary conditions
报 告 人：丁时进 教授（华南师范大学）
报告时间：2017年12月08日 （星期五） 下午15:30-16:30
邀 请 人：温焕尧 教授
报告地点：四号楼4318室

欢迎广大师生前往！

                                                                      数学学院
                                                                  2017年12月07日

报告摘要：This talk is concerned with the instability and stability of the trivial steady states of the incompressible Navier-Stokes equations with Navier-slip boundary conditions in a slab domain in dimension two. The main results show that the stability (or instability) of this constant equilibrium depends crucially on whether the boundaries dissipate energy and the strengthen of the viscosity and slip length. It is shown that in the case that when all the boundaries are dissipative, then nonlinear asymptotic stability holds true. Otherwise, there is a sharp critical viscosity, which distinguishes the linear and nonlinear stability from instability. This is a joint work with Zhouping Xin and Quanrong Li.