Recently, the authors presented two numerical studies for capturing the flow structure
beneath water waves (Nachbin and Ribeiro-Junior 2014 Disc. Cont. Dyn. Syst. A 34, 3135 …

The purpose of this work is to explore in detail the structure of the interior flow generated by
periodic surface waves on a fluid with constant vorticity. The problem is mapped conformally …

We study nonlinear free‐surface rotational waves generated through the interaction of a
vertically sheared current with a topography. Equivalently, the waves may be generated by a …

Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid
dynamics that have attracted much attention from scientists for both the mathematical …

We investigate the effect of constant-vorticity background shear on the properties of
wavetrains in deep water. Using the methodology of Fokas (A Unified Approach to Boundary …

This paper considers the pressure–streamfunction relationship for a train of regular water
waves propagating on a steady current, which may possess an arbitrary distribution of …

While several articles have been written on Electrohydrodynamics (EHD) flows or flows with
constant vorticity separately, little is known about the extent to which the combined effects of …

We prove that in a regular wave train, which propagates at the surface of water in irrotational
flow over a flat bed, the maximum and minimum of the dynamic pressure occur at the wave …

We consider the angle θ θ of inclination (with respect to the horizontal) of the profile of a
steady two dimensional inviscid symmetric periodic or solitary water wave subject to gravity …

This work centers on the numerical examination of particle trajectories associated with the
propagation of long water waves of small but finite amplitude on a background shear flow …