A Mathematical Introduction to Fluid Mechanics

Alexandre J. Chorin, Jerrold E. Marsden

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English

Springer-Verlag New York Inc.
01 November 2013

Mathematics & Sciences; Classical mechanics; Mathematical physics; Mechanical engineering

Series: Texts in Applied Mathematics

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.

By: Alexandre J. Chorin, Jerrold E. Marsden
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993
Volume: 4
Dimensions: Height: 235mm, Width: 155mm, Spine: 10mm
Weight: 296g
ISBN: 9781461269342
ISBN 10: 1461269342
Series: Texts in Applied Mathematics
Pages: 172
Publication Date: 01 November 2013
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Reviews for A Mathematical Introduction to Fluid Mechanics

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