On the Benjamin–Lighthill conjecture for water waves with vorticity
On the Benjamin–Lighthill conjecture for water waves with vorticity
We consider the nonlinear problem of steady gravity-driven waves on the free surface of a two-dimensional flow of an inviscid, incompressible fluid (say, water). The water motion is supposed to be rotational with a Lipschitz continuous vorticity distribution, whereas the flow of finite depth is assumed to be unidirectional. We …