Global Bifurcation of Water Waves over Constant Vorticity Flows with Critical Layers
We consider two-dimensional travelling water waves over flows with constant vorticity and critical layers. We use global analytic bifurcation theory to show the existence of a global curve of solutions which either approaches a solitary wave or forms a critical point along the surface. In contrast to most of the previous studies, we fix the Bernoulli constant and use the wavenumber as a bifurcatio
