An analysis of a new approximate model for two-dimensional water waves with constant vorticity
In this thesis, we investigate the water-wave problem for two-dimensional steady waves with constant vorticity. We introduce a new approximate model that, in its simplest form, reduces to a planar dynamical system. We then analyze this system for various energy levels and vorticity constants, studying its phase portraits to determine the locations and types of solutions that arise. In the unidire
