Systems of Conservation Laws 2 - Geometric Structures, Oscillations, and Initial-Boundary Value Problems (Hardcover)

Systems of conservation laws arise naturally in physics and chemistry. Continuing where the previous volume left off, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. The author applies this tool 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	February 2000
First published:	2000
Authors:	Denis Serre
Translators:	I. N. Sneddon
Dimensions:	244 x 170 x 17mm (L x W x T)
Format:	Hardcover
Pages:	282
ISBN-13:	978-0-521-63330-7
Languages:	English
Subtitles:	French
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-521-63330-3
Barcode:	9780521633307

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