147 citations · 155 across the 3 of their papers we have counts for
4 papers
Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations
Thomas Y. Hou, Ruo Li
In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompressible Euler equations with smooth initial data. We consider the interaction of t…
Nonexistence of Local Self-Similar Blow-up for the 3D Incompressible Navier-Stokes Equations
Thomas Y. Hou, Ruo Li
We prove the nonexistence of local self-similar solutions of the three dimensional incompressible Navier-Stokes equations. The local self-similar solutions we consider here are dif…
Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations
Thomas Y. Hou, Ruo Li
We study the interplay between the local geometric properties and the non-blowup of the 3D incompressible Euler equations. We consider the interaction of two perturbed antiparallel…
Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation
Jian Deng, Thomas Y. Hou, Ruo Li +1
In this article we apply the technique proposed in Deng-Hou-Yu (Comm. PDE, 2005) to study the level set dynamics of the 2D quasi-geostrophic equation. Under certain assumptions on…