三维纳维-斯托克斯方程弱解的一类长度尺度
A hierarchy of length scales for weak solutions of the three-dimensional Navier-Stokes equations
摘要：
矩的涡度是用来定义和估计的时间平均逆长度尺度的层次弱解的三维，不可压缩的纳维-斯托克斯方程的周期盒。这些反尺度的最小值的估计与逆柯尔莫哥洛夫长度相吻合，但此后雷诺数的指数迅速上升，相应地更高的时刻。这些结果的影响，小尺度涡结构的计算分辨率进行了讨论。
英文摘要：
Moments of the vorticity are used to define and estimate a hierarchy of time-averaged inverse length scales for weak solutions of the three-dimensional, incompressible Navier-Stokes equations on a periodic box. The estimate for the smallest of these inverse scales coincides with the inverse Kolmogorov length but thereafter the exponents of the Reynolds number rise rapidly for correspondingly higher moments. The implications of these results for the computational resolution of small scale vortical structures are discussed.
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