Small Viscosity and Boundary Layer Methods

Theory, Stability Analysis, and Applications

AvGuy Métivier

Inbunden, Engelska, 2003

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2003-12-10
Mått:155 x 235 x 17 mm
Vikt:500 g
Format:Inbunden
Språk:Engelska
Serie:Modeling and Simulation in Science, Engineering and Technology
Antal sidor:194
Upplaga:2004
Förlag:Birkhauser Boston Inc
ISBN:9780817633905

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Recensioner i media

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)

Innehållsförteckning

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.