Guy Métivier

Small Viscosity and Boundary Layer Methods (eBook, PDF)

Theory, Stability Analysis, and Applications

• Format: PDF

Produktbeschreibung

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.

This monograph is a valuable text for researchers, practitioners, and graduate students in applied mathematics, mathematical physics, and engineering and will be a useful supplement for the study of mathematical models in the applied sciences. Prerequisites for the reader include standard courses in analysis, integration theory, and PDEs.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 194
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9780817682149
• Artikelnr.: 44198564

Inhaltsangabe

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.

Rezensionen

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." (Frédéric Rousset, Mathematical Reviews, Issue 2007 b)