asymptotic analysis 1axisymmetric solutions 1keller-segel model 1mass concentration 1type ii blowup 1
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math.AP2026
Axisymmetric type II blowup solutions to the three-dimensional Keller-Segel system
Thomas Y. Hou, Van Tien Nguyen, Peicong Song
The paper constructs axisymmetric solutions of the three‑dimensional parabolic‑elliptic Keller‑Segel system that develop finite‑time type II blowup, with mass concentrating along a…
math.AP2026
Nonuniqueness of Leray-Hopf solutions to the unforced incompressible 3D Navier-Stokes Equation
Thomas Hou, Yixuan Wang, Changhe Yang
The nonuniqueness of Leray-Hopf solutions to the unforced incompressible 3D Navier-Stokes equations is one of the central open problems in mathematical fluid dynamics. In this pape…