Two-component equations modelling water waves with constant vorticity
arXiv:1406.1645 · doi:10.1007/s10231-014-0461-z
Abstract
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.
24 pages