Existence of corotating asymmetric vortex pairs for Euler equations

Abstract

In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs of simply connected patches for Euler equations. In particular, we prove the existence of curves of steadily co-rotating and counter-rotating asymmetric vortex pairs passing through a point vortex pairs with unequal circulations.

29 pages

References in corpus (4)

• Existence of corotating and counter-rotating vortex pairs for active scalar equations
• Uniformly rotating smooth solutions for the incompressible 2D Euler equations
• Symmetry in stationary and uniformly-rotating solutions of active scalar equations
• Non uniform rotating vortices and periodic orbits for the two-dimensional Euler Equations