On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations
On the Existence of Helical Invariant Solutions to Steady Navier--Stokes Equations
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DOI：
10.1137/20m1343324
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发表时间：
2021-02
影响因子：
2
通讯作者：
M. Korobkov;Wenqi Lyu;S. Weng
中科院分区：
文献类型：
--
作者：
M. Korobkov;Wenqi Lyu;S. Weng
本文研究了螺旋对称空间区域中定常N-S方程的非齐次边值问题。当假设数据是螺旋不变的且满足相容条件时，我们证明了该问题至少有一个螺旋不变解。关键词：定常Navier-Stokes方程，螺旋对称流动
In this paper, we investigate the nonhomogeneous boundary value problem for the steady Navier-Stokes equations in a helically symmetric spatial domain. When data is assumed to be helical invariant and satisfies the compatibility condition, we prove this problem has at least one helical invariant solution. Keyword: Steady Navier-Stokes equations, helically symmetric flow