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＜電子ブック＞
Vorticity and Turbulence / by Alexandre J. Chorin
(Applied Mathematical Sciences. ISSN:2196968X ; 103)

版	1st ed. 1994.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1994
本文言語	英語
大きさ	VIII, 176 p : online resource
著者標目	*Chorin, Alexandre J author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematical physics LCSH:Statistics  FREE:Analysis FREE:Theoretical, Mathematical and Computational Physics FREE:Statistics
一般注記	This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro­ duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised HTTP:URL=https://doi.org/10.1007/978-1-4419-8728-0

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