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math.AP2026
On the Stability of Type II Blowup for the Keller-Segel System in High Dimensions
Thomas Y. Hou, Xiang Qin, Peicong Song +1
We study finite-time blowup for the parabolic--elliptic Keller--Segel system on in dimensions , where the problem is mass supercritical. For every integer $…
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.AP2026
Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations
Thomas Y. Hou, Peicong Song
We study the forward self-similar solutions to the D hypodissipative Navier-Stokes equation with fractional diffusion for . We first show that for arbi…