T. Hou

activity

20192026

most citedOn the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equation

48 citations · 60 across the 7 of their papers we have counts for

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Showing 2022 · math.APShow all

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math.AP2022

Potential Singularity of the Axisymmetric Euler Equations with $C^{α}$ Initial Vorticity for A Large Range of $α$ . Part II: the $N$ -Dimensional Case

Thomas Y. Hou, Shumao Zhang

In Part II of this sequence to our previous paper for the 3-dimensional Euler equations \cite{zhang2022potential}, we investigate potential singularity of the $n$ -diemnsional axisy…

math.AP2022★ 8 cited

Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Jiajie Chen, Thomas Y. Hou

Inspired by numerical evidence of a potential 3D Euler singularity \cite{luo2014potentially,luo2013potentially-2}, we prove finite-time, nearly self-similar blowup of the 2D Boussi…

math.AP2022

On stability and instability of $C^{1, α}$ singular solutions to the 3D Euler and 2D Boussinesq equations

Jiajie Chen, Thomas Y. Hou

Singularity formation of the 3D incompressible Euler equations is known to be extremely challenging. In [18], Elgindi proved that the 3D axisymmetric Euler equations with no swirl…

Potential Singularity of the Axisymmetric Euler Equations with Cα Initial Vorticity for A Large Range of α. Part II: the N-Dimensional Case

Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

On stability and instability of C1,α singular solutions to the 3D Euler and 2D Boussinesq equations

Potential Singularity of the Axisymmetric Euler Equations with $C^{α}$ Initial Vorticity for A Large Range of $α$ . Part II: the $N$ -Dimensional Case

On stability and instability of $C^{1, α}$ singular solutions to the 3D Euler and 2D Boussinesq equations