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.
|Journal||Discrete and Continuous Dynamical Systems|
|State||Published - Apr 5 2020|
- 35Q35, 76B03, 76C05