Stability criteria for the 2D α-Euler equations

2017/12/17 by Latushkin, Yuri, Vasudevan, Shibi
#35 #76 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)

paper · doi:10.48550/arxiv.1712.06085

Abstract

We derive analogues of the classical Rayleigh, Fjortoft and Arnold stability and instability theorems in the context of the 2D α-Euler equations.

Related

• On stationary solutions of two-dimensional Euler Equation
• Loss of regularity for the 2D Euler equations
• Stability analysis of two-dimensional ideal flows with applications to viscous fluids and plasmas
• On the stability of periodic 2D Euler-alpha flows
• Non-conservative solutions of the Euler-α equations