On a new 3D model for incompressible euler and navier-stokes equations |
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| Authors: | Wang Shu |
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| Affiliation: | 1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;2. Institute of Mathematical sciences, Chinese University of Technology, Hong kong, China |
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| Abstract: | ![]()
In this paper, we investigate some new properties of the incompressible Euler and Navier-Stokes equations by studying a 3D model for axisymmetric 3D incompressible Euler and Navier-Stokes equations with swirl. The 3D model is derived by reformulating the axisymmetric 3D incompressible Euler and Navier-Stokes equations and then neglecting the convection term of the resulting equations. Some properties of this 3D model are reviewed. Finally, some potential features of the incompressible Euler and Navier-Stokes equations such as the stabilizing effect of the convection are presented. |
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| Keywords: | finite time singularities nonlinear nonlocal system stabilizing effect of convection incompressible Euler and Navier-Stokes equations |
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