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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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ACTA MATHEMATICA SCIENTIA
ISSN： 0252-9602
Year： 2010
Issue： 6
Volume： 30
Page： 2089-2102
1 . 0 0 0
JCR@2022
ESI Discipline： MATHEMATICS;
JCR Journal Grade：4
CAS Journal Grade：4
Cited Count：
WoS CC Cited Count： 1
SCOPUS Cited Count：
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 14
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