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Hyperbolic and viscous conservation laws

Author: Tai-Ping Liu
Publisher: Philadelphia : Society for Industrial and Applied Mathematics, 2000.
Series: CBMS-NSF regional conference series in applied mathematics, 72.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Liu, Tai-Ping, 1945-
Hyperbolic and viscous conservation laws.
Philadelphia : Society for Industrial and Applied Mathematics, 2000
(DLC) 99049815
(OCoLC)42764300
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tai-Ping Liu
ISBN: 0898714362 9780898714364 9780898719420 0898719429
OCLC Number: 697886952
Description: ix, 73 pages : illustrations ; 25 cm.
Contents: Preface --
1. Hyperbolic conservation laws, preliminaries --
Riemann problem --
Wave interactions --
Random choice method --
Nonlinear superposition --
Large-time behavior and regularity --
2. Viscous conservation laws, preliminaries --
Burgers equation --
Diffusion waves --
Viscous shocks --
Viscous rarefaction waves --
Concluding remarks --
Bibliography --
Index.
Series Title: CBMS-NSF regional conference series in applied mathematics, 72.
Responsibility: Tai-Ping Liu.

Abstract:

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.

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