Hyperbolic and viscous conservation laws

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Hyperbolic and viscous conservation...

Hyperbolic and viscous conservation laws

Name: Hyperbolic and viscous conservation laws
ISBN: 9780898714364

Tai-Ping Liu

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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.

კატეგორია:

Physics

წელი:

2000

გამომცემლობა:

Society for Industrial and Applied Mathematics

ენა:

english

გვერდები:

ISBN 10:

0898714362

ISBN 13: