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分析与微分方程研讨会

Analysis of steady solutions for the incompressible Euler system in an infinitely long nozzle

Speaker

李从明 , 上海交通大学

Time

21 Nov, 14:15 - 15:00

Abstract

Stagnation point in flows is an interesting phenomenon in fluid mechanics. It induces many challenging problems in analysis. This talk presents a recent joint work with Yingshu Lv and Chunjing Xie. We first derive a Liouville type theorem for Poiseuille flows in the class of incompressible steady inviscid flows in an infinitely long strip, where the flows can have stagnation points. With the aid of this Liouville type theorem, we show the uniqueness of solutions with positive horizontal velocity for steady Euler system in a general nozzle when the flows tend to the horizontal velocity of Poiseuille flows at the upstream. Finally, this kind of flows are proved to exist in a large class of nozzles.