Stability of Lamb-Chaplygin dipole

Speaker: 周涛 博士  新加坡国立大学

Inviter: 秦国林 博士

Title: Stability of Lamb-Chaplygin dipole

Language: Chinese

Time & Venue: 2026.07.03   10:00-10:50    南楼N620

Abstract: The Lamb-Chaplygin dipole is a traveling wave solution to the 2D incompressible Euler equation, whose orbital stability was established in [Abe-Choi, 2022] and [Abe-Choi-Jeong, 2025] assuming the odd symmetry in x_2 (O) and non-negativity in upper half-plane (N). This talk will further study its stability in the following two aspects. Firstly, we will show the spectral stability of the linearized operator around the Lamb-Chaplygin dipole without conditions (O) or (N), based on the index theory established in [Lin-Zeng, 2022]. Secondly, assuming (O) and (N), we refine the orbital stability results in [Abe-Choi, 2022] and [Abe-Choi-Jeong, 2025] quantitatively. This talk is based on the joint papers with Zexing Li (CY Cergy), Peicong Song (Caltech).