Аннотация:
Steady surface waves in a two-dimensional channel are considered. I’ll talk about bifurcations, which occur on a branch of Stokes water waves starting from a uniform stream solution and approaching an extreme wave. Two types of bifurcations are considered: bifurcations in the class of Stokes waves and bifurcations in a class of periodic waves with the period M-times the period of the Stokes wave (subharmonic bifurcations). The talk is based on the papers:
1. V. Kozlov, The subharmonic bifurcation of Stokes waves on vorticity flow, JDE, 2023,
2. V. Kozlov, On first subharmonic bifurcations in a branch of Stokes waves, arXiv:2303.11440, 2023.
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