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【Math Department Invited Talk】Uniform structural stability of Hagen-Poiseuille flows in a pipe

Abstract: This talk focuses on the recent progress on nonlinear structural stability of Hagen-Poiseuille flows in a pipe, in particular, the uniform stability of these flows with respect to the mass flux. The key ingredient of the analysis is the linear structural stability of Hagen-Poiseuille flows in a pipe. This linear problem closely relates to dynamical stability of Hagen-Poiseuille flows. The existence of a class of large solutions in a pipe will also be addressed even when the external force is large.


个人简介

谢春景,上海交通大学教授,2007年博士毕业于香港中文大学,在2011年加入上海交通大学之前,在香港中文大学和密西根大学做博士后。研究兴趣集中于高维流体动力学方程组的适定性研究,特别是Euler方程组及其相关模型的亚音速解与跨音速解问题,高维Euler方程组弱解的不唯一性、以及管道中定常Navier-Stokes方程组的适定性等。在Advances in Mathematics, Archive for Rational Mechanics and Analysis, Communications in Mathematical Physics等杂志发表多篇论文。