English

The subharmonic bifurcation of Stokes waves on vorticity flow

Analysis of PDEs 2022-10-18 v4

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.

Keywords

Cite

@article{arxiv.2204.10699,
  title  = {The subharmonic bifurcation of Stokes waves on vorticity flow},
  author = {Vladimir Kozlov},
  journal= {arXiv preprint arXiv:2204.10699},
  year   = {2022}
}