Speaker：Lili Du（Shenzhen University）

Time：2023-02-17, 17:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:

In this talk, we will introduce the recent work on the singularity near the degenerate points of the steady axisymmetric flow with general vorticity of an inviscid incompressible fluid acted on by gravity and with a free surface. The main results in this talk give the different classifications of the singularity near the degenerate points on the free surface. More precisely, we obtained that at the stagnation points, the possible profiles must be a Stokes corner, a horizontal cusp, or a horizontal flatness. At the degenerate points on the symmetric axis except the origin, the wave profile must be a cusp. At the origin, the possible wave profiles must be a Garabedian pointed bubble, a horizontal cusp, or a horizontal flatness.