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

References in corpus (1)

• Large time existence for 3D water-waves and asymptotics

Cited by in corpus (8)

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• On the transition of the Rayleigh-Taylor instability in 2d water waves
• Justification of Peregrine soliton from full water waves
• Nonlinear modulational instabililty of the Stokes waves in 2d full water waves
• On the Free Surface Motion of Highly Subsonic Heat-conducting Inviscid Flows