Small viscosity and boundary layer methods : theory, stability analysis, and applications /

This book is an introduction to the stability analysis of noncharacteristic boundary layers, emphasizing selected topics and developing mathematical tools relevant to the study of multidimensional problems. Boundary layers are present in problems from physics, engineering, mechanics, and fluid mecha...

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Bibliographic Details
Main Author: Métivier, Guy (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer Science+Business Media, [2004]
Series:Modeling and simulation in science, engineering & technology.
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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300 |a 1 online resource (xxii, 194 pages.) 
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490 1 |a Modeling and Simulation in Science, Engineering and Technology,  |x 2164-3679 
505 0 |a Preface -- List of notation -- Part I. Semiliear layers. Introduction and example ; Hyperbolic mixed problems ; Hyperbolic-parabolic problems ; Semilinear boundary layers -- Part II. Quasilinear layers. Quasilinear boundary layers: the inner layer O.D.E. plane wave stability ; Stability estimates ; Kreiss symmetrizers for hyperbolic-parabolic systems ; Linear and nonlinear stability of quasilinear boundary layers -- Bibliography -- Index. 
504 |a Includes bibliographical references and index. 
588 |a Description based on online resource; title from PDF title page (SpringerLink, viewed January 20, 2014). 
520 |a This book is an introduction to the stability analysis of noncharacteristic boundary layers, emphasizing selected topics and developing mathematical tools relevant to the study of multidimensional problems. Boundary layers are present in problems from physics, engineering, mechanics, and fluid mechanics and typically appear for problems with small diffusion. Boundary layers also occur in free boundary value problems, particularly in the analysis of shock waves. The main goal of this presentation is to provide basic tools for the understanding of multidimensional boundary layers for systems. Included are self-contained introductions to different topics such as hyperbolic boundary value problems, parabolic systems, WKB methods, construction of profiles, introduction to the theory of Evans? functions, and energy methods with Kreiss? symmetrizers. 
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