719 citations · 1.9k across the 57 of their papers we have counts for
Showing 2021 · math.APShow all
3 papers · 2 filters
math.AP2021
Potential singularity of the 3D Euler equations in the interior domain
Thomas Y. Hou
Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In this pape…
math.AP2021
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations
Jiajie Chen, Thomas Y. Hou, De Huang
Inspired by the numerical evidence of a potential 3D Euler singularity \cite{luo2014potentially,luo2013potentially-2}, we prove finite time singularity from smooth initial data for…
math.AP2021★ 1 cited
Potential singularity formation of incompressible axisymmetric Euler equations with degenerate viscosity coefficients
Thomas Y. Hou, De Huang
In this paper, we present strong numerical evidences that the incompressible axisymmetric Euler equations with degenerate viscosity coefficients and smooth initial data of finite e…