UID:
edocfu_9959236050002883
Format:
1 online resource (xxii, 263 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
1-107-11393-8
,
1-280-41867-2
,
9786610418671
,
0-511-17247-8
,
0-511-15128-4
,
0-511-31055-2
,
0-511-61237-0
,
0-511-05397-5
Series Statement:
Systems of conservation laws ;
Uniform Title:
Systèmes de lois de conservation.
Content:
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 will make it ideal as a text for graduate courses in the area of partial differential equations.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Preliminaries; Contents; Acknowledgments; Introduction; 1 Some models; 2 Scalar equations in dimension d = 1; 3 Linear and quasi-linear systems; 4 Dimension d=D 1, the Riemann problem; 5 The Glimm scheme; 6 Second order perturbations; 7 Viscosity profiles for shock waves; Bibliography; Index
,
English
Additional Edition:
ISBN 0-511-00900-3
Additional Edition:
ISBN 0-521-58233-4
Language:
English
