A Mathematical Introduction to Fluid Mechanics / Edition 3

by Alexandre J. Chorin, Jerrold E. Marsden

Overview

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clas­ sical techniques of applied mathematics. This renewal of interest, bothin research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, whichwill focus on advanced textbooks and research Ievel monographs. Preface This book is based on a one-term coursein fluid mechanics originally taught in the Department of Mathematics of the U niversity of California, Berkeley, during the spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approximation procedures.

Product Details

ISBN-13:	9781461269342
Publisher:	Springer New York
Publication date:	11/26/2013
Series:	Texts in Applied Mathematics , #4
Edition description:	3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993
Pages:	172
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Preface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.

Editorial Reviews

A textbook for a one-term upper level or graduate course, presenting the basic ideas of fluid mechanics in a mathematically attractive, rather than fully rigorous, manner, and explaining some of the physics behind the constructions. A primary goal is to inspire, as well as to prepare, students for further study. Updated and revised from the 1990 edition; first published in 1979. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

From the reviews:

"… The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." Physicalia

From the Publisher