尺度不变流线方程与奇异涡弦
Scale Invariant Streamline Equations and Strings of Singular Vorticity
摘要：
一对各向异性衰减Beltrami流（Trkal解）的空间振幅为常数，旋度算子的本征值和Beltrami对的正交常速度矢量的本征值相同，其线性组合产生无力纳维-斯托克斯方程的三重解。轻微的空间变化的振幅（大尺度扰动）产生的时间依赖相位之间的双贝尔特拉米流和向上的速度，这是不稳定的，在大的雷诺数值，以及形成的大规模弯曲棱柱的流线与边缘是字符串的奇异涡。
英文摘要：
A linear combination with constant in space amplitudes of a pair of dual anisotropic decaying Beltrami flows (the Trkal solutions)with the same eigenvalue of the curl operator and of an orthogonal constant velocity vector to the Beltrami pair,yields a triplet solution of the force-free Navier-Stokes equation. Slight space variation of the amplitudes (large scale perturbation) yields the emergence of the time depending phase between the dual Beltrami flows and of the upward velocity,which are unstable at large values of the Reynolds number as well as the formation of the large scale curved prisms of streamlines with edges being the strings of singular vorticity.
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