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ON A NEW 3D MODEL FOR INCOMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS

ON A NEW 3D MODEL FOR INCOMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS
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摘要 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. 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.
作者 王术
机构地区 College of Applied Sciences Institute of Mathematical sciences
出处 《Acta Mathematica Scientia》 SCIE CSCD 2010年第6期2089-2102,共14页 数学物理学报（B辑英文版）
基金 supported by National Basic Research Program of China(973 Program, 2011CB808002) the NSFC (11071009) PHR-IHLB (200906103)
关键词 finite time singularities nonlinear nonlocal system stabilizing effect of con- vection incompressible Euler and Navier-Stokes equations finite time singularities nonlinear nonlocal system stabilizing effect of con- vection incompressible Euler and Navier-Stokes equations
分类号 O357.1 [理学—流体力学] O177.91 [理学—基础数学]
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参考文献40

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Acta Mathematica Scientia
2010年 第6期

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