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math.AP2017
Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations
Thomas Y Hou, Pengfei Liu, Fei Wang
We consider a family of 3D models for the axi-symmetric incompressible Navier-Stokes equations. The models are derived by changing the strength of the convection terms in the axisy…
math.AP2014★ 2 cited
Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations
Thomas Y. Hou, Pengfei Liu
We investigate the self-similar singularity of a 1D model for the 3D axisymmetric Euler equations, which is motivated by a particular singularity formation scenario observed in num…