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

ISBN-13: 9781461264965 / Angielski / Miękka / 2012 / 194 str.

Guy Metivier

Opis

* Metivier is an expert in the field of pdes/math physics, with a particular emphasis on shock waves. * New monograph focuses on mathematical methods, models, and applications of boundary layers, present in many problems of physics, engineering, fluid mechanics. * Metivier has good Birkhauser track record: one of the main authors of "Advances in the Theory of Shock Waves" (Freistuehler/Szepessy, eds, 4187-4). * Manuscript endorsed by N. Bellomo, MSSET series editor...should be a good sell to members of MSSET community, who by-in-large are based in Europe. * 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.

Recenzje

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)

Spis treści

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