Vladimir Kozlov: Subharmonic bifurcations of Stokes waves on vorticity flow

Date: 2023-10-12

Time: 11:00 - 12:00

Zoom link: https://kva-se.zoom.us/j/9217561880


Vladimir Kozlov, Linköping University


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.