Bifurcations and inviscid limit of rhombic Navier–Stokes flows in tori
Bifurcations and inviscid limit of rhombic Navier–Stokes flows in tori
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环面菱形纳维-斯托克斯流的分岔和无粘极限
DOI：
10.1093/imamat/68.2.119
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发表时间：
2003
影响因子：
1.2
通讯作者：
H. Okamoto
中科院分区：
文献类型：
--
作者：
Sun;H. Okamoto
我们考虑二维环面上粘性不可压缩流体的运动。与许多论文处理基本流为平行流的情况不同，我们在这里考虑流型为菱形的情况。我们数值计算了分支的解，发现(1)分支是一个跨临界分支，(2)分支的一侧，解在无粘极限处显示出一个尖锐的内层，(3)分支的另一侧，解在无粘极限处不具有内层。
We consider viscous incompressible fluid motions on two-dimensional tori. Unlike many papers which treat the cases where the basic flow is a parallel flow, we consider here the case where the flow pattern is rhombic. We numerically compute the bifurcating solutions and find that (I) the bifurcating branch is a transcritical one, (2) on one side of the branch, the solution displays a sharp interior layer in the inviscid limit, and (3) on the other side of the branch, the solutions in the inviscid limit do not possess an interior layer.