Systems of Conservation Laws. 2 Geometric Structures, Oscillations, and Initial-Boundary Value Problems

Systems of Conservation Laws. 2 Geometric Structures, Oscillations, and Initial-Boundary Value Problems

Hardback (02 Mar 2000)

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Publisher's Synopsis

Systems of conservation laws arise naturally in physics and chemistry. Following on from the previous volume, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. This tool is applied to the description of large amplitude wave propagation. Small waves are studied through geometrical optics. Special structures are presented in chapters on Rich and Temple systems. Finally, Serre explains why the initial-boundary value problem is far from trivial, with descriptions of the Kreiss-Lopatinski condition for well-posedness, with applications to shock wave stability, and certain problems in boundary layer theory. 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.

Book information

ISBN: 9780521633307
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 515.353
DEWEY edition: 21
Language: English
Number of pages: 269
Weight: 660g
Height: 178mm
Width: 251mm
Spine width: 24mm