Friedlander S. (ed.) Handbook of Mathematical Fluid Dynamics. Volume 2

Elsevier, 2003. — 627 p. — ISBN: 044451287XThe Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.Contents of the HandbookList of Contributors
Statistical Hydrodynamics
R. Robert
Topics on Hydrodynamics and Volume Preserving Maps
Y. Brenier
Weak Solutions of Incompressible Euler Equations
A. Shnirelman
Near Identity Transformations for the Navier-Stokes Equations
P. Constantin
Planar Navier-Stokes Equations: Vorticity Approach
M. Ben-Artzi
Attractors of Navier-Stokes Equations
A.VBabin
Stability and Instability in Viscous Fluids
M. Renardy and Y. Renardy
Localized Instabilities in Fluids
S. Friedlander and A. Lipton-Lifschitz
Dynamo Theory
A.D. Gilbert
Water-Waves as a Spatial Dynamical System
F. Dias and G. looss
Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity
J. Groah, B. Temple and J. Smoller
Author Index
Subject Index