Handbook of Mathematical Fluid Dynamics

✍ Scribed by S. Friedlander (editor), D. Serre (editor)

• Publisher: North Holland
• Year: 2003
• Tongue: English
• Leaves: 627
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Handbook of Mathematical Fluid Dynamics
Copyright Page
Contents of the Handbook
Preface
List of Contributors
Contents
Chapter 1. Statistical Hydrodynamics
Chapter 2. Topics on Hydrodynamics and Volume Preserving Maps
Chapter 3. Weak Solutions of Incompressible Euler Equations
Chapter 4. Near Identity Transformations for the Navier–Stokes Equations
Chapter 5. Planar Navier–Stokes Equations: Vorticity Approach
Chapter 6. Attractors of Navier–Stokes Equations
Chapter 7. Stability and Instability in Viscous Fluids
Chapter 8. Localized Instabilities in Fluids
Chapter 9. Dynamo Theory
Chapter 10. Water-Waves as a Spatial Dynamical System
Chapter 11. Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity
Author Index
Subject Index