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Field name	Details
Dewey Class	532
Dewey Class	533.62
Title	A Mathematical Introduction to Fluid Mechanics ([EBook]) / by A. J. Chorin, J. E. Marsden.
Author	Chorin, Alexandre Joel
Added Personal Name	Marsden, J. E.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer US , 1979.
Physical Details	VII, 205 pages : online resource.
Series	Universitext 0172-5939
ISBN	9781468400823
Summary Note	These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University 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 approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. 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; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.:
Contents note	I. The Equations of Motion -- 1.1. Euler’s Equations -- 1.2. Rotation and Vorticity -- 1.3. Navier-Stokes Equations -- II. Potential Flow and Slightly Viscous Flow -- 2.1. Potential Flow -- 2.2. Boundary Layers -- 2.3. Vortex Sheets -- III. Gas Flow in One Dimension -- 3.1. Characteristics -- 3.2. Shocks 14 -- 3.3. The Riemann Problem -- 3.4. Combustion Waves.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4684-0082-3
Links to Related Works	Subject References: Fluid- and Aerodynamics . Fluids . Physics . Theoretical, Mathematical and Computational Physics . Authors: Chorin, Alexandre Joel . author . Chorin, Alexandre Joel . Marsden, J. E. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 532 . 533.62 .

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A Mathematical Introduction to Fluid Mechanics

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