Handbook of Mathematical Fluid Dynamics

by S. Friedlander, D. Serre

Overview

This is the fourth volume in a series of survey articles covering many aspects of mathematical fluid dynamics, a vital source of open mathematical problems and exciting physics.

Product Details

ISBN-13:	9780444515568
Publisher:	Elsevier Science
Publication date:	11/20/2004
Pages:	680
Product dimensions:	6.50(w) x 9.45(h) x (d)

Table of Contents

Contents of the Handbooks     v
Preface     vii
List of Contributors     ix
On the Contact Topology and Geometry of Ideal Fluids   R. Ghrist     1
Shock Reflection in Gas Dynamics   D. Serre     39
The Mathematical Theory of the Incompressible Limit in Fluid Dynamics   S. Schochet     123
Local Regularity Theory of the Navier-Stokes Equations   G. Seregin     159
On the Influence of the Earth's Rotation on Geophysical Flows   I. Gallagher   L. Saint-Raymond     201
The Foundations of Oceanic Dynamics and Climate Modeling   G.R. Sell     331
Mathematical Properties of the Solutions to the Equations Governing the Flow of Fluids with Pressure and Shear Rate Dependent Viscosities   J. Malek   K.R. Rajagopal     407
The Navier-Stokes System in Domains with Cylindrical Outlets to Infinity. Leray's Problem   K. Pileckas     445
Periodic Homogenization Problems in Incompressible Fluid Equations   C. Conca   M. Vanninathan     649
Author Index     699
Subject Index     707

Editorial Reviews

"This three volume Handbook provides a comprehensive overview of the fascinating variety of mathematics that arise from the study of fluid motion. Altogether 3388 references are cited. The Handbook will certainly become the standard work in Mathematical Fluid Dynamics." —K. Gersten in: ZAMM 85, No. 9, 617 (2005)

"This volume is an excellent resource for both physicists and mathematicians at the level of graduate student and above, and is recommended for academic libraries serving researchers in these fields." —in: E-STREAMS Vol. 8, No. 5 - May 2005

From the Publisher