The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry
The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry
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具有螺旋对称性的不可压缩 3D Navier-Stokes 方程的消失粘度极限
DOI：
10.1016/j.physd.2018.01.013
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Helena J. Nussenzveig Lopes
中科院分区：
文献类型：
--
作者：
Quansen Jiu;Milton C. Lopes Filho;Dongjuan Niu;Helena J. Nussenzveig Lopes
本文讨论了三维螺旋对称的Navier-Stokes方程在全空间的消失粘性问题。我们选择依赖于粘性的初始uν.0，其中螺旋旋涡类似于轴对称流动的旋涡分量，量级为O(ν)，在L2范数中；我们假设在H1中uν.0→u0。我们分析中的新成分是螺旋矢量场的分解，通过它我们可以获得所需的估计。
In this paper, we are concerned with the vanishing viscosity problem for the three-dimensional Navier–.Stokes equations with helical symmetry, in the whole space. We choose viscosity-dependent initial uν.0.with helical swirl, an analogue of the swirl component of axisymmetric flow, of magnitude O(ν) in the L2.norm; we assume uν.0 → u0 in H1. The new ingredient in our analysis is a decomposition of helical vector.fields, through which we obtain the required estimates.