# 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

**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:

- V. Kozlov, The subharmonic bifurcation of Stokes waves on vorticity flow, JDE, 2023.
- V. Kozlov, On first subharmonic bifurcations in a branch of Stokes waves, arXiv:2303.11440, 2023.
- V. Kozlov, On the first bifurcation of Stokes waves, arXiv:2307.05573, 2023.