, Volume 171, Issue 3, pp 349-416
Date: 18 Nov 2003

Convexity of Stokes Waves of Extreme Form

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


Existence is established of a piecewise-convex, periodic, planar curve S below which is defined a harmonic function which simultaneously satisfies prescribed Dirichlet and Neumann boundary conditions on S. In hydrodynamics this corresponds to the existence of a periodic Stokes wave of extreme form which has a convex profile between consecutive stagnation points where there is a corner with a contained angle of 120°