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A Mathematical Introduction to Fluid Mechanics

3rd ed. 1993. Corr. 4th printing 2000. Book. Sprache: Englisch.
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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 m … weiterlesen
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Produktdetails

Titel: A Mathematical Introduction to Fluid Mechanics
Autor/en: Alexandre J. Chorin, Jerrold E. Marsden

ISBN: 0387979182
EAN: 9780387979182
3rd ed. 1993. Corr. 4th printing 2000.
Book.
Sprache: Englisch.
Springer New York

16. Juni 2000 - gebunden - 192 Seiten

Beschreibung

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, which will 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.

Inhaltsverzeichnis

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.

Pressestimmen

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

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