A Mathematical Introduction to Fluid Mechanics

Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics.

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Hlavní autoři: Chorin, Alexandre J, Marsden, Jerrold E
Médium: E-kniha
Jazyk:angličtina
Vydáno: New York, NY Springer New York 1990
Springer US
Vydání:2
Edice:Texts in Applied Mathematics
Témata:
Fluid mechanics
Mathematics
Mathematics and Statistics
Mathematics, general
ISBN:9781468403664, 1468403664, 9781468403657, 9780387973005, 0387973001, 1468403656
ISSN:0939-2475
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Abstract Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics.
AbstractList Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics.
Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered.
Author Marsden, Jerrold E
Chorin, Alexandre J
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Copyright Springer-Verlag New York 1990
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DEWEY 532
DOI 10.1007/978-1-4684-0364-0
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Snippet Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as...
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SubjectTerms Fluid mechanics
Mathematics
Mathematics and Statistics
Mathematics, general
TableOfContents Texts in Applied Mathematics 4 -- A Mathematical Introduction to Fluid Mechanics -- Copyright -- Series Preface -- Preface -- Contents -- Chapter 1 The Equations of Motion -- Chapter 2 Potential Flow and Slightly Viscous Flow -- Chapter 3 Gas Flow in One Dimension -- Vector Identities -- Index
1 The Equations of Motion -- 1.1 Euler’s Equations -- 1.2 Rotation and Vorticity -- 1.3 Navier-Stokes Equations -- 2 Potential Flow and Slightly Viscous Flow -- 2.1 Potential Flow -- 2.2 Boundary Layers -- 2.3 Vortex Sheets -- Addendum: Remarks on Dynamics and Bifurcation -- 3 Gas Flow in One Dimension -- 3.1 Characteristics -- 3.2 Shocks -- 3.3 The Riemann Problem -- 3.4 Combustion Waves -- Vector Identities.
Title A Mathematical Introduction to Fluid Mechanics
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