Trimodal Steady Water Waves

Steady Water Waves

The classical water wave problem concerns the irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The fluid motion is described by the Euler equations in a domain bounded below by a rigid horizontal bottom {y = −h} and above by a free surface which is described as a graph {y = η(x, z, t)}, where the function η depends upon the two horizonta...

Steady Water Waves

We present a survey of certain aspects of the theory of steady water waves with emphasis on the role played by vorticity. Historical background, numerical illustrations, and brief discussions of the time-dependent problem and of approximate models are included as well.

Stratified Steady Periodic Water Waves

This paper considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. We prove the existence of a global continuum of classical solutions that are periodic and traveling. These waves, moreover, can exhibit large density variation, speed and amplitude. 1. Introduction. Stratification is a common feature of ocean w...

Rotational steady water waves near stagnation.

We investigate the location of the point of maximal horizontal velocity for steady periodic water waves with vorticity.

On variational formulations for steady water waves