Stability criteria for the 2D $\alpha$-Euler equations

Abstract

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

References in corpus (3)

• The Camassa-Holm equations as a closure model for turbulent channel flow
• Variational methods, multisymplectic geometry and continuum mechanics
• Convergence of the 2D Euler-$\alpha$ to Euler equations in the Dirichlet case: indifference to boundary layers