Abstract In this paper two things are done. (1) It is shown that the concept of a direct energy cascade is possible to be violated under specific circumstances as a consequence of dissipation process which initially takes place at Taylor microscales of the inertial subrange. (2) This work predicts, for the first time, the existence of isotropic turbulence at length scales smaller than that of Kolmogorov scales and that it never decays with time as long as the fluid is in motion. It should be remarked that no comparison with experiments searching for the proposed length scales can be made at present.

中文翻译：

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各向同性湍流中复标量场波动的非衰减

摘要 本文做了两件事。(1) 结果表明，由于耗散过程最初发生在惯性子范围的泰勒微尺度上，因此在特定情况下可能会违反直接能量级联的概念。(2) 这项工作首次预测了在小于 Kolmogorov 尺度的长度尺度上存在各向同性湍流，并且只要流体在运动，它就不会随时间衰减。应该注意的是，目前无法与搜索建议的长度尺度的实验进行比较。