Main Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves
Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves cover

Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves

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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
Request Code : ZLIB.IO18335494
Categories:
Year:
2022
Publisher:
Cambridge University Press City: Cambridge
Language:
English
ISBN 10:
0511612370
ISBN 13:
9780511612374
ISBN:
0521582334, 9780521582339, 9780511612374, 0511612370
Series:
Systems of conservation laws, vol. 1

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