Thomas Y. Hou

collaborators

4 papers

math.AP2026

Exact Blowup Analysis for the Weak-Advection Hou--Li Model

Thomas Y. Hou, Xiang Qin, Xiuyuan Wang

We study self-similar singularity formation for the one-dimensional weak-advection Hou--Li model, a reduced model motivated by the axisymmetric Euler equations. In the periodic set…

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 $2$ D hypodissipative Navier-Stokes equation with fractional diffusion $(- I^)^{I^} \pm$ for $\frac{1}{2} < I^\pm < 1$ . We first show that for a…

math.AP2026

Self-similar blow-up profile for the one-dimensional reduction of generalized SQG with infinite energy

Thomas Y. Hou, Xiang Qin, Yannick Sire +1

We study the singularity formation mechanisms of the inviscid generalized Surface Quasi-Geostrophic (gSQG) equation on the whole space $R^{2}$ and on the upper half-plane $\…

math.AP2025

Nearly self-similar blowup of generalized axisymmetric Navier-Stokes equations

Thomas Y. Hou

We numerically investigate the nearly self-similar blowup of the generalized axisymmetric Navier--Stokes equations. First, we rigorously derive the axisymmetric Navier--Stokes equa…