On a class of self-similar 2D surface water waves

Abstract

We construct a class of self-similar surface water waves and study its properties. This class of surface waves appears to be in very good agreement with a common type of wave crests in the ocean.

In version 1, $g$ was used both as gravity and the function in system (3.12). This misuse of notation is corrected

Cited by in corpus (2)

• A blow-up criteria and the existence of 2d gravity water waves with angled crests
• Break-down criterion for the water-wave equation