Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves (English and French Edition) - Hardcover

Serre, Denis

Hardcover

ISBN 10: 0521582334 ISBN 13: 9780521582339

Publisher: Cambridge University Press, 1999

Synopsis

Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self contained, with large numbers of exercises and full discussion of all the ideas. This makes it an ideal text for graduate courses in the area of partial differential equations.

About this title

Book Description

This book sets up the foundations of the modern theory of conservation laws describing the physical models and mathematical methods. Building on this the author then takes the reader to the current state of knowledge in the subject.Throughout the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.

Language Notes

Text: English (translation)
Original Language: French

Edition details

• Publisher: Cambridge University Press
• Publication date: 1999
• Language: English
• ISBN 10: 0521582334
• ISBN 13: 9780521582339
• Binding: Hardcover
• Number of pages: 286