Jump To中央區塊/Main Content :::
:::

Seminars

Analysis Seminar

Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation

2025/02/25 (Tue.) 10:00~13:00
  • Date : 2025/02/25 (Tue.) 10:00~13:00
  • Location : online
  • Speaker : Jiajun Tong (Peking University)
  • Organizer : Tai-Ping Liu (AS)
  • Abstract : It is of great mathematical and physical interest to study traveling wave solutions to the 2D incompressible Euler equation in the form of a touching pair of symmetric vortex patches with opposite signs. Such a solution was numerically illustrated by Sadovskii in 1971, but its rigorous existence was left as an open problem. In this talk, we will rigorously construct such a solution by a novel fixed-point approach that determines the patch boundary as a fixed point of a nonlinear map. Smoothness and other properties of the patch boundary will also be characterized. This is based on a joint work with De Huang.

【Registration】
Online participants must fill the application form below. A link to the meeting will be distributed on a first-come, first-serve basis, due to device limitations.
Click here to register (Deadline: 4PM, Feb. 24)

:::