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arXiv · 1708.07536

Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations

Thomas Y Hou·Pengfei Liu·Fei Wang
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Abstract

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 axisymmetric Navier-Stokes equations written using a set of transformed variables. We prove the global regularity of the family of models in the case that the strength of convection is slightly stronger than that of the original Navier-Stokes equations, which demonstrates the potential stabilizing effect of convection.

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Thomas Y Hou, Pengfei Liu, Fei Wang. 2017-08-24. Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations. https://arxiv.org/abs/1708.07536

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