3 papers
math.AP2026
Inviscid damping without derivatives near Couette flow
Dengjun Guo, Xiaoyutao Luo
We study the long-time dynamics near Couette flow for the 2D Euler equations in unbounded geometries. We identify a mechanism of nonlinear inviscid damping at Yudovich regularity,…
math.AP2026
Global dynamics of a single vortex ring
Dengjun Guo, In-Jee Jeong, Lifeng Zhao
We study the global-in-time dynamics of vortex rings for the three-dimensional incompressible Euler equations, under the assumption of axisymmetric flows without swirl. For a broad…
math.AP2025
Long time inviscid damping near Couette in Sobolev spaces
Dengjun Guo, Xiaoyutao Luo
We give an elementary proof of long time inviscid damping for Sobolev perturbations near the Couette flow for the 2D Euler equations on . For…