Theoretical Approaches to Turbulence
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Applied Mathematical Sciences 1. 2. 3. 4. 5. 6. 7. 9. 11. 12. 13. 14. 15. 16. 17. 18. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38.
John: Partial Differential Equations, 4th ed. Sirovich: Techniques of Asymptotic Analysis. Hale: Theory of Functional Differential Equations, 2nd ed. Percus: Combinatorial Methods. von Mises/Friedrichs: Fluid Dynamics. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. Pipkin: Lectures on Viscoelasticity Theory. Friedrichs: Spectral Theory of Operators in Hilbert Space. Wolovich: Linear Multivariable Systems. Berkovitz: Optimal Control Theory. Bluman/Cole: Similarity Methods for Differential Equations. Yoshizawa: Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions. Braun: Differential Equations and Their Applications, 3rd ed. Lefschetz: Applications of Algebraic Topology. Collatz/Wetterling: Optimization Problems. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol I. Driver: Ordinary and Delay Differential Equations. Courant/Friedrichs: Supersonic Flow and Shock Waves. Ftouche/Habets/Laloy: Stability Theory by Liapunov's Direct Method. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. Grenander: Pattern Analysis: Lectures in Pattern Theory, Vol. II. Davies: Integral Transforms and Their Applications, 2nd ed. Kushner/Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. de Boor: A Practical Guide to Splines. Keilson: Markov Chain Models—Rarity and Exponentiality. de Veubeke: A Course in Elasticity. Sniatycki: Geometric Quantization and Quantum Mechanics. Reid: Sturmian Theory for Ordinary Differential Equations. Meis/Markowitz: Numerical Solution of Partial Differential Equations. Grenander: Regular Structures: Lectures in Pattern Theory, Vol. III. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. Carr: Applications of Centre Manifold Theory. Bengtsson/Ghil/Käll6n: Dynamic Meterology: Data Assimilation Methods. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. Lichtenberg/Lieberman: Regular and Stochastic Motion.
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Theoretical Approaches to Turbulence Edited by D.L. Dwoyer M.Y. Hussaini R.G. Voigt
With 90 Illustrations
Springer Science+Business Media, LLC
D . L . Dwoyer M . Y . Hussaini R . G . Voigt ICASE NASA Langley Research Center Hampton, Virginia 23665 U.S.A.
AMS Subject Classification: 76FXX
Library of Congress Cataloging in Publication Data Main entry under title: Theoretical approaches to turbulence. (Applied mathematical sciences; v. 58) Bibliography: p. 1. Turbulence—Addresses, essays, lectures. I. Dwoyer, Douglas L. II. Hussaini, M. Yousuff. III. Voigt, Robert G. IV. Series: Applied mathematical sciences (Springer-Verlag New York Inc.); v. 58. 510 s [532'.0527] 85-14765 QA1.A647 vol. 58 [QA913] This is to certify that the papers authored by D . M . Bushneil, G.A. Chapman, and P. Moin were prepared in their roles as U.S. Government employees and are thus i
