Soviet Union: 1941. 1st Edition. FIRST EDITION IN ORIGINAL PAPER WRAPPERS (Near Fine Condition) OF AN IMPORTANT PAPER BY KOLMOGOROV ON CHAOS IN TURBULENCE, accompanied by its English translation. The title translates as "Dissipation of Energy in the Locally Isotropic Turbulence" and this work, along with another 1941 Kolmogorov paper, is generally considered to be the origin of modern turbulence theory, including the concepts of scale similarity and universal inertial cascade (The Contributions of A. N. Kolmogorov, Agosto 2004, p. 1).
Note that the English translation is included in a Special Issue of Proceedings of the Royal Society Special Issue: Turbulence and stochastic processes: Kolmogorov's ideas 50 Years published in July 8, 1991. Two other papers by Kolmogorov are included “The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers” and “Equations of Turbulent Motion of an Incompressible Fluid.” Papers on the import of Kolmogorov’s work are included by: Arnol’d, Temam, Williams, Kraichnan, Mandelbrot, Frisch, She, Jackson, Orszag, Phillips, Van Atta, Gibson, Steenivasan, Hunt, Vassilicos, Spalding, Bray and Cant.
Nikolaevich Kolmogorov was a Soviet mathematician, one of the best of the 20th century. In many ways, one of his most important contributions was to demystify turbulence. “It has been understood since [his 1941 papers] that energy is pumped into the large scales and transmitted to viscous dissipation as a fractal. [His] papers also showed how to “construct” that fractal, and how to compute its similarity exponent. They explained clearly for the first time that it is not important how energy is dissipated but how it is transferred, and that, if it is allowed to cascade far enough, dissipation will eventually take over at some sufficiently small scale” (ibid).
Kolmogorov took an interest in the study of turbulent flows of liquids and gases in the late thirties. “In many ways, everything we know today about turbulent flows rests on Kolmogorov's papers of 1941… and turbulence theory is… unthinkable without [his] cascade argument” (Agosto 2004). In his cascade argument “turbulent motions span a wide range of scales ranging from a macroscale at which the energy is supplied, to a microscale at which energy is dissipated by viscosity. The interaction among the eddies of various scales passes energy sequentially from the larger eddies gradually to the smaller ones. This process is known as the turbulent energy cascade. If the state of turbulence is statistically steady (statistically unchanging turbulence intensity), then the rate of energy transfer from one scale to the next must be the same for all scales, so that no group of eddies sharing the same scale sees its total energy level increase or decrease over time” (Turbulence, 8.1). Item #1369
CONDITION & DETAILS: First edition of original issue is in original wrappers. Near fine and uncut. The English translation is also in near fine original wraps (though this 1991 issue includes light library stamps on front).