Instability of Equilibria for the 2D Euler Equations on the torus

Joachim Worthington, Holger R. Dullin, Robert Marangell

We consider the hydrodynamics of an incompressible fluid on a 2D periodic domain. There exists a family of stationary solutions with vorticity given by $Ω^*=α\cos (\mathbf{p} \cdot…