Handbook of Mathematical Fluid Dynamics

Front Cover
S. Friedlander, D. Serre
Gulf Professional Publishing, Mar 27, 2003 - Science - 626 pages
The 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.
 

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Contents

Chapter 2 Topics on Hydrodynamics and Volume Preserving Maps
55
Chapter 3 Weak Solutions of Incompressible Euler Equations
87
Chapter 4 Near Identity Transformations for the NavierStokes Equations
117
Vorticity Approach
143
Chapter 6 Attractors of NavierStokes Equations
169
Chapter 7 Stability and Instability in Viscous Fluids
223
Chapter 8 Localized Instabilities in Fluids
289
Chapter 9 Dynamo Theory
355
Chapter 10 WaterWaves as a Spatial Dynamical System
443
Shock Waves in General Relativity
501
Author Index
597
Subject Index
609
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