Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition(Mathematical Analysis of Phenomena in fluid and Plasma Dynamics)
Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition(Mathematical Analysis of Phenomena in fluid and Plasma Dynamics)
复制标题
具有非零流出条件的环形域中纳维-斯托克斯流的扰动（流体和等离子体动力学现象的数学分析）
DOI：
10.1007/bf01450040
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
S. Ukai
中科院分区：
文献类型：
--
作者：
H. Morimoto;S. Ukai
到目前为止，对于Navier-Stokes方程边值问题的研究仅限于Leray引起的零出流条件下。我们在环形Dain D={x∈R2；r1<；|x|<；R2}的边界条件下考虑这一问题。在第一作者的一篇文章中，得到了一类简单的非零流出型边界条件：u=µRi er+bieθonΓi，i=1，2的精确解，其中µ，b1，b2为任意常数。本文证明了满足边界条件的解的存在性：u={µRi+ϕi(θ)}er+{bi+ψi(θ)}eθonΓi，i=1，2，其中ϕi(θ)，ψi(θ)是π的2个θ周期光滑函数，在一些附加条件下.设D是R2中的环域：
The boundary value problem of the Navier-Stokes equations has been studied so far only under the vanishing outflow condition due to Leray. We consider this problem in an annular do- main D = {x ∈ R 2 ; R1 < |x| <R 2}, under the boundary condition with non-vanishing outflow. In a previous paper of the first author, an exact solution is obtained for a simple boundary condition of non- vanishing outflow type: u = µ Ri er +bieθ on Γi ,i =1 , 2, where µ, b1 ,b 2 are arbitrary constants. In this paper, we show the existence of solu- tions satisfying the boundary condition: u = { µ Ri + ϕi(θ)}er + {bi + ψi(θ)}eθ on Γi ,i =1 , 2, where ϕi(θ) ,ψ i(θ) are 2π-periodicsmooth function of θ, under some additional condition. Let D be an annular domain in R 2 :
关于斯托克斯漂移
DOI：
--
发表时间：
2010
期刊：
影响因子：
--
作者：
Kanbayashi;Hiroshi;Hirohisa Takenoshita;H.Okamoto
通讯作者：
H.Okamoto