The Mathematical Theory of Turbulence

"I do not think at all that I am able to present here any procedure of investiga­ tion that was not perceived long ago by aZl men of talent; and I do not promise at all that you can find here anything quite new of this kind. But I shall take pains to state in clear words the pules and ways of i...

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Bibliographic Details
Main Author: Stanisic, M.M.
Format: eBook
Language:English
Published: New York, NY Springer New York 1985, 1985
Edition:1st ed. 1985
Series:Universitext
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a The Mathematical Theory of Turbulence  |h Elektronische Ressource  |c by M.M. Stanisic 
250 |a 1st ed. 1985 
260 |a New York, NY  |b Springer New York  |c 1985, 1985 
300 |a 429 p  |b online resource 
505 0 |a Onset of Turbulence -- Onset of Turbulence -- One -- Classical Turbulence -- I. Turbulent Flow -- Two -- Statistical Theories in Turbulence -- II. Fundamental Concepts -- III. Basic Theories -- IV. Magnetohydrodynamic Turbulence -- Appendices -- Appendix A -- Derivation of Correlation Equations (13.51–13.62) -- Appendix B -- Derivation of Spectrum Equations (14.45–14.46) -- Appendix C -- Fourier Transforms (18.10) -- Appendix D -- The Time Variation of Eq. (18.3) -- Appendix E -- The Time Variation of Eq. (18.19) -- Author Index 
653 |a Continuum mechanics 
653 |a Mathematical physics 
653 |a Continuum Mechanics 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Mathematical Methods in Physics 
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490 0 |a Universitext 
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520 |a "I do not think at all that I am able to present here any procedure of investiga­ tion that was not perceived long ago by aZl men of talent; and I do not promise at all that you can find here anything quite new of this kind. But I shall take pains to state in clear words the pules and ways of investigation which are followed by able men, who in most cases are not even conscious of follow­ ing them. Although I am free from illusion that I shall fully succeed even in doing this, I stiZl hope that the little that is present here may please some people and have some application afterwards. " Bernard Balzano (Wissenschaftslehre, 1929) The following book results from a series of lectures on the mathematical theory of turbulence delivered by the author at the Purdue University School of Aeronautics and Astronautics during the past several years, and represents, in fact, a comprehensive account of the author's work with his graduate students in this field. It was my aim in writing this book to give engineers and scientists a mathematical feeling for a subject, which because of its nonlinear character has resisted mathematical analysis for many years. On account viii of its refractory nature this subject was categorized as one of seven "elementary catastrophes". The material presented here is designed for a first graduate course in turbulence. The complete course has been taught in one semester