Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications

Author:   Guy Métivier
Publisher:   Birkhauser Boston Inc
Edition:   2004 ed.
ISBN:  

9780817633905


Pages:   194
Publication Date:   10 December 2003
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications


Overview

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.

Full Product Details

Author:   Guy Métivier
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2004 ed.
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.080kg
ISBN:  

9780817633905


ISBN 10:   0817633901
Pages:   194
Publication Date:   10 December 2003
Audience:   General/trade ,  Professional and scholarly ,  College/higher education ,  General ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

I Semilinear Layers.- 1 Introduction and Example.- 2 Hyperbolic Mixed Problems.- 3 Hyperbolic-Parabolic Problems.- 4 Semilinear Boundary Layers.- II Quasilinear Layers.- 5 Quasilinear Boundary Layers: The Inner Layer ODE.- 6 Plane Wave Stability.- 7 Stability Estimates.- 8 Kreiss Symmetrizers for Hyperbolic-Parabolic Systems.- 9 Linear and Nonlinear Stability of Quasilinear Boundary Layers.- References.

Reviews

From the reviews: <p> The main aim of this book is to provide a self-contained introduction to the topic together with a large exposition of the recent results a ] . The book is very well written with an interesting level of difficulty which makes it easy to read. It is recommended to everyone interested in this area, beginners and specialists, since it starts with a good introduction and the presentation of rather simple results and finishes with a nice exposition of current research. (FrA(c)dA(c)ric Rousset, Mathematical Reviews, Issue 2007 b)


From the reviews: The main aim of this book is to provide a self-contained introduction to the topic together with a large exposition of the recent results ... . The book is very well written with an interesting level of difficulty which makes it easy to read. It is recommended to everyone interested in this area, beginners and specialists, since it starts with a good introduction and the presentation of rather simple results and finishes with a nice exposition of current research. (Frederic Rousset, Mathematical Reviews, Issue 2007 b)


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