Large amplitude steady periodic waves for fixed-depth rotational flows
Taylor & Francis
We consider steady periodic water waves with vorticity which propagate over a flat bed with a specified fixed mean-depth d > 0. Following a novel reformulation of the governing equations, we use global bifurcation theory to establish a global continuum of solutions throughout which the mean-depth is a fixed quantity. Furthermore, we establish the limiting behavior of solutions in this continuum, which include the existence of weak stagnation points, that are characteristic of large-amplitude steady periodic water waves.
Fixed-depth flows , Global bifurcation , Stagnation points , Steady periodic waves , Vorticity
Henry, D. (2013) 'Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows'. Communications in Partial Differential Equations, 38 (6), pp. 1015-1037. doi: 10.1080/03605302.2012.734889