3 papers
math.AP2026
On the stability of Lamb-Chaplygin dipole for the 2D Euler equation
Zexing Li, Peicong Song, Tao Zhou
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, 202…
math.AP2025
Nonradial stability of self-similar blowup to Keller-Segel equation in three dimensions
Zexing Li, Tao Zhou
In three dimensions, the parabolic-elliptic Keller-Segel system exhibits a rich variety of singularity formations. Notably, it admits an explicit self-similar blow-up solution whos…
math.AP2025
Finite-time blowup for Keller-Segel-Navier-Stokes system in three dimensions
Zexing Li, Tao Zhou
While finite-time blowup solutions have been studied in depth for the Keller-Segel equation, a fundamental model describing chemotaxis, the existence of finite-time blowup solution…