Hyperbolic Systems of Conservation Laws : The Theory of Classical and Nonclassical Shock Waves
Language: English
Published by Birkhäuser, 2002
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 57.26
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - This set of lecture notes was written for a Nachdiplom-Vorlesungen course given at the Forschungsinstitut fUr Mathematik (FIM), ETH Zurich, during the Fall Semester 2000. I would like to thank the faculty of the Mathematics Department, and especially Rolf Jeltsch and Michael Struwe, for giving me such a great opportunity to deliver the lectures in a very stimulating environment. Part of this material was also taught earlier as an advanced graduate course at the Ecole Poly technique (Palaiseau) during the years 1995-99, at the Instituto Superior Tecnico (Lisbon) in the Spring 1998, and at the University of Wisconsin (Madison) in the Fall 1998. This project started in the Summer 1995 when I gave a series of lectures at the Tata Institute of Fundamental Research (Bangalore). One main objective in this course is to provide a self-contained presentation of the well-posedness theory for nonlinear hyperbolic systems of first-order partial differential equations in divergence form, also called hyperbolic systems of con servation laws. Such equations arise in many areas of continuum physics when fundamental balance laws are formulated (for the mass, momentum, total energy . . . of a fluid or solid material) and small-scale mechanisms can be neglected (which are induced by viscosity, capillarity, heat conduction, Hall effect . . . ). Solutions to hyper bolic conservation laws exhibit singularities (shock waves), which appear in finite time even from smooth initial data.…
Seller Inventory # 9783764366872
- Title
- Hyperbolic Systems of Conservation Laws : The Theory of Classical and Nonclassical Shock Waves
- Author
- Philippe G. Lefloch
- Publisher
- Birkhäuser
- Publication year
- 2002
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3764366877
- ISBN 13
- 9783764366872
- Item weight
- 526 grams
- Dimensions
- 240x170x17 mm
This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.
"Synopsis" may belong to another edition of this title.
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