40 citations · 77 across the 4 of their papers we have counts for
4 papers
Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data
Thomas Y. Hou, Zhen Lei, Congming Li
In this paper, we study the 3D axi-symmetric Navier-Stokes Equations with swirl. We prove the global regularity of the 3D Navier-Stokes equations for a family of large anisotropic…
Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations
Thomas Y. Hou, Zuoqiang Shi
The Immersed Boundary method has evolved into one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method…
Dynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with Swirl
Thomas Y. Hou, Congming Li
In this paper, we study the dynamic stability of the 3D axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approxim…
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…