Two-component equations modelling water waves with constant vorticity
  In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this equation using a geometrical framework which allows us to recast this equation as a geodesic flow on an infinite dimensional manifold. Finally, we provide a criteria for global existence. 
Joachim Escher (IFAM), David Henry (UCC), Boris Kolev (I2M), Tony   Lyons (DIT)
math-ph math.MP