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AuthorStaniลกiฤ{135}, M. M. author
TitleThe Mathematical Theory of Turbulence [electronic resource] / by M. M. Staniลกiฤ{135}
ImprintNew York, NY : Springer US, 1985
Connect tohttp://dx.doi.org/10.1007/978-1-4684-0263-6
Descript 429 p. online resource

SUMMARY

"I do not think at all that I am able to present here any procedure of investigaยญ 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 followยญ 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


CONTENT

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 (13.51โ{128}{147}13.62) -- Appendix B -- Derivation of Spectrum Equations (14.45โ{128}{147}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


Physics Fluids Physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics



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