Hyperbolic and Viscous Conservation Laws (Paperback)

Here is an in-depth, up-to-date analysis of wave interactions for general systems of hyperbolic and viscous conservation laws. This self-contained study of shock waves explains the new wave phenomena from both a physical and a mathematical standpoint. The analysis is useful for the study of various physical situations, including nonlinear elasticity, magnetohydrodynamics, multiphase flows, combustion, and classical gas dynamics shocks. The central issue throughout the book is the understanding of nonlinear wave interactions. The book describes the qualitative theory of shock waves. It begins with the basics of the theory for scalar conservation law and Lax's solution of the Reimann problem. For hyperbolic conservation laws, the Glimm scheme and wave tracing techniques are presented and used to study the regularity and large-time behavior of solutions. Viscous nonlinear waves are studied via the recent approach to pointwise estimates.

General

Imprint:	Society For Industrial & Applied Mathematics,U.S.
Country of origin:	United States
Series:	CBMS-NSF Regional Conference Series, No. 72
Release date:	1987
Authors:	Tai-Ping Liu
Series editors:	Ron Rozier
Dimensions:	229 x 152 x 7mm (L x W x T)
Format:	Paperback - Trade
Pages:	81
ISBN-13:	978-0-89871-436-4
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics) Promotions
LSN:	0-89871-436-2
Barcode:	9780898714364

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