ENGLISH

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

By Denis Serre , I. N. Sneddon

Book information

Publisher
Cambridge University Press
Year
1999
ISBN
0521582334, 9780521582339
LCC
QA377 .S46413 1999
Open Library ID
OL374344M
Language
english
Format
PDF
Filesize
3 MB (3383620 bytes)
Pages
286\286
Topic
Jurisprudence Law
Time added
2011-01-06 10:13:16

Description

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.

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