Rigidity and Lyapunov stability of plane ideal flows

Speaker: 王国栋 副教授，大连理工大学

Inviter: 韩丕功 研究员

Title:  Rigidity and Lyapunov stability of plane ideal flows

Time & Venue: 2025.8.28 10:30-11:30 腾讯会议号363-774-009

Abstract: I will review some classical results on the Lyapunov stability of 2D ideal fluids, including Arnold’s EC method, Burton’s stability criterion, and their applications. I will then introduce a recent stability result for steady flows in a finite periodic channel, which provides a class of orbitally stable, non-shear flows. When discussing stability, we also obtain some rigidity results as byproducts.