ENGLISH

Hyperbolic and viscous conservation laws

By Tai-Ping Liu

Book information

Publisher
Society for Industrial and Applied Mathematics
Year
2000
ISBN
9780898714364, 0898714362
Open Library ID
OL8271849M
Language
english
Format
PDF
Filesize
3 MB (3402455 bytes)
Series
CBMS-NSF regional conference series in applied mathematics 72
Pages
84\84
Time added
2010-05-31 15:29:46
Математика;Дискретная математика

Description

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.

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