The subharmonic bifurcation of Stokes waves on vorticity flow

DOI10.1016/J.JDE.2023.02.062arXiv2204.10699WikidataQ121934366 ScholiaQ121934366MaRDI QIDQ6397207

Publication date: 22 April 2022

Abstract: We consider a family of Stokes waves on vorticity flow parameterized by a parameter. For large value of the parameter the Stokes waves approach the Stokes extreme wave. We prove that there are infinitely many subharmonic bifurcation points on such branches.

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)

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