Kinematics of vorticity: Vorticity-strain conjugation in incompressible fluid flows.
Kinematics of vorticity: Vorticity-strain conjugation in incompressible fluid flows.
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涡度运动学：不可压缩流体流中的涡度-应变共轭。
DOI：
10.1103/physreve.50.5107
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Ohkitani
中科院分区：
文献类型：
--
作者：
Ohkitani
对三维不可压缩欧拉流进行了精确的运动学分析。发现涡量张量和应变率张量通过一个相同的奇异积分变换相互连接。导出了该变换的一些形式性质。特别地，在（3+ 1）维空间中存在调和函数，使得一对共轭的边界值（朝向我们的三维物理空间）仅仅是涡量和应变率张量。给出了广义柯西-黎曼方程的显式表达式。作为一个应用，给出了三个Siggia不变量之间的积分关系。
An exact kinematic analysis is made of the three-dimensional incompressible Euler flows. It is found that the vorticity and rate-of-strain tensors are connected with each other through an identical singular integral transform. Some formal properties of this transform are derived. In particular, there exist harmonic functions in (3+ 1)-dimensional space so that the boundary values (toward our three-dimensional physical space) of a pair of conjugates are simply the vorticity and rate-of-strain tensors. The generalized Cauchy-Riemann equations are explicitly written. As an application, three of Siggia’s invariants are related by some integrals.