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Vladimir Kozlov: Subharmonic bifurcations of Stokes waves on vorticity flow

Time: Thu 2023-10-12 11.00 - 12.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Vladimir Kozlov, Linköping University

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Abstract:

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.
  3. V. Kozlov, On the first bifurcation of Stokes waves, arXiv:2307.05573, 2023.
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