Table of Contents

Preface.
Statistical Hydrodynamics (R. Robert).
Topics on Dydrodynamics and Volume Preserving Maps (Y. Brenier.
Weak Solution of Incompressible Euler Equations (A. Shnirelman).
Near Identity Transformations for the Navier-Stokes Equations (P. Constantin).
Planar Navier-Stokes Equations Vortificity Approach (M. Ben-Artzi).
Attractors of Navier-Stokes Equations (A. Babin).
Stability and Instability in Viscous Fluids (M. Renardy, Y. Renardy).
Localized Instabilities in Fluids (S. Friedlander, A. Lipton-Lifshitz).
Dynamo Theory (A.D. Gilbert).
Water-waves as a Spatial Dynamical System (F. Dias, A. Looss).
Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity (J. Groah, J. Smoller, B. Temple).

Reviews

"The book represents an excellent attempt to present the subject area of mathematical fluid dynamics to a readership in fluid dynamics, applied mathematics, and general mathematics." V.A. Vladimirov. Journal of Fluid Mechanics, 2004.