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

Language: English

Published by Birkhäuser, Birkhäuser, 2012

1461264960 / 9781461264965

Series: Book 9 of 55 - Modeling and Simulation in Science, Engineering and Technology

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This book has evolved from lectures and graduate courses given in Brescia (Italy), Bordeaux and Toulouse (France};' It is intended to serve as an intro duction to the stability analysis of noncharacteristic multidimensional small viscosity boundary layers developed in (MZl]. We consider parabolic singular perturbations of hyperbolic systems L(u) - £P(u) = 0, where L is a nonlinear hyperbolic first order system and P a nonlinear spatially elliptic term. The parameter e measures the strength of the diffusive effects. With obvious reference to fluid mechanics, it is referred to as a 'viscosity.' The equation holds on a domain n and is supplemented by boundary conditions on an.The main goal of this book is to studythe behavior of solutions as etends to O. In the interior of the domain, the diffusive effects are negligible and the nondiffusive or inviscid equations (s = 0) are good approximations. However, the diffusive effects remain important in a small vicinity of the boundary where they induce rapid fluctuations of the solution, called layers. Boundary layers occur in many problems in physics and mechanics. They also occur in free boundary value problems, and in particular in the analysis of shock waves. Indeed, our study of noncharacteristic boundary layers is strongly motivated by the analysis of multidimensional shock waves. At the least, it is a necessary preliminary and important step. We also recall the importance of the viscous approach in the theoretical analysis ofconservation laws (see, e.g., [Lax], (Kru], (Bi-Br]).

Seller Inventory # 9781461264965

Title
Small Viscosity and Boundary Layer Methods : Theory, Stability Analysis, and Applications
Author
Guy Métivier
Publisher
Birkhäuser, Birkhäuser
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461264960
ISBN 13
9781461264965
Item weight
341 grams
Dimensions
235x155x13 mm
Series
Book 9 of 55: Modeling and Simulation in Science, Engineering and Technology

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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