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Sinossi
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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Recensione
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)
Contenuti
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
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Small Viscosity and Boundary Layer Methods
Editore:
Birkhäuser Boston Okt 2012, 2012
ISBN 10: 1461264960
ISBN 13: 9781461264965
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -\* 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. 220 pp. Englisch. Codice articolo 9781461264965
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Small Viscosity and Boundary Layer Methods
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Develops mathematical tools relevant to the study of multidimensional problemsUseful supplement for the study of mathematical models in the applied sciences* Metivier is an expert in the field of pdes/math physics, with a particular emp. Codice articolo 4189146
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Small Viscosity and Boundary Layer Methods
Editore:
Birkhäuser Boston, Birkhäuser Boston Okt 2012, 2012
ISBN 10: 1461264960
ISBN 13: 9781461264965
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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]).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 220 pp. Englisch. Codice articolo 9781461264965
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Small Viscosity and Boundary Layer Methods : Theory, Stability Analysis, and Applications
Editore:
Birkhäuser Boston, Birkhäuser Boston, 2012
ISBN 10: 1461264960
ISBN 13: 9781461264965
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. 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]). Codice articolo 9781461264965
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Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology)
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Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications
Editore:
Springer-Verlag New York Inc., 2012
ISBN 10: 1461264960
ISBN 13: 9781461264965
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 343. Codice articolo C9781461264965
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Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology)
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Condizione: New. Codice articolo ABLIING23Mar2716030028013
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Small Viscosity and Boundary Layer Methods: Theory, Stability Analysis, and Applications (Modeling and Simulation in Science, Engineering and Technology)
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Paperback. Condizione: Like New. Like New. book. Codice articolo ERICA80014612649606
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