Handbook of Mathematical Fluid Dynamics

S. Friedlander, D. Serre0444515569, 9780444515568, 9780080472911

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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Table of contents :
Contents of the Handbooks……Page 7
Preface……Page 9
List of Contributors……Page 11
Contents……Page 13
From Particles to Fluids……Page 15
Two-Dimensional Euler System and the Vortex Patches Problem……Page 97
Harmonic Analysis Tools for Solving the Incompressible Navier–Stokes Equations……Page 175
Boundary Layers……Page 259
Stability of Large-Amplitude ShockWaves of Compressible Navier–Stokes Equations……Page 325
Some Mathematical Problems in Geophysical Fluid Dynamics……Page 549
Author Index……Page 673
Subject Index……Page 681