Proof of the Stokes conjecture for compressible gravity water waves
Proof of the Stokes conjecture for compressible gravity water waves
In 1880, Stokes examined an incompressible irrotational periodic traveling water wave under the influence of gravity and conjectured the existence of an extreme wave with a corner of $120^{\circ}$ at the crest. The first rigorous proof of the conjecture was given by Amick, Fraenkel and Toland, as well as by …