CRM Proceedings & Lecture Notes 1999; 119 pp; softcover Volume: 20 ISBN10: 0821808788 ISBN13: 9780821808788 List Price: US$45 Member Price: US$36 Order Code: CRMP/20
 The lectures collected for this volume were given during a workshop entitled, "Semianalytic Methods for the Navier Stokes Equations" held at the CRM in Montréal. The title reflects the current reality in fluid dynamics: NavierStokes equations (NSE) describe the behavior of fluid in a wide range of physical situations, the solutions of these equations are sufficiently complicated, so that another level of analysis is clearly needed. The fundamental problem is not just to solve the NSE, but also to understand what the solutions mean. One of the goals of the workshop was to bring together people who, while working in different fields, share a common perspective on the nature of the problem to be solved. The lectures present a diverse set of techniques for modelling, computing, and understanding phenomena such as instabilities, turbulence and spatiotemporal chaos in fluids. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students and research mathematicians interested in fluid mechanics, numerical analysis, turbulences, and NavierStokes equations; physicists and engineers. Table of Contents  E. S. C. Ching  Probabilities and conditional averages in turbulence
 H. S. Greenside  Spatiotemporal chaos in large systems: The scaling of complexity with size
 M. Kirby and R. Miranda  Empirical dynamical system reduction I: Global nonlinear transformations
 D. R. Hundley, M. Kirby, and R. Miranda  Empirical dynamical system reduction II: Neural charts
 C. Lee and P. S. Marcus  Asymmetries in eastward and westward jets in a model planetary atmosphere
 C. Meneveau and T. S. Lund  Lagrangian averaging for dynamic Eddyviscosity subgrid models for filtered NavierStokes equation
 J. B. Weiss  Punctuated Hamiltonian models of structured turbulence
