Hyperbolic systems of conservation laws and the mathematical theory of shock waves / Peter D. Lax.

Format:

Book

Author/Creator:

Lax, Peter D.

Contributor:

Conference Board of the Mathematical Sciences.

National Science Foundation (U.S.)

Society for Industrial and Applied Mathematics.

Series:

CBMS-NSF regional conference series in applied mathematics ; 11.

Regional conference series in applied mathematics, ; 11

Language:

English

Subjects (All):

Shock waves.

Conservation laws (Physics).

Differential equations, Hyperbolic--Numerical solutions.

Differential equations, Hyperbolic.

Physical Description:

1 electronic text (ix, 48 p.) : ill., digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1973.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.

Contents:

Quasi-linear hyperbolic equations

Conservation laws

Single conservation laws

The decay of solutions as t tends to infinity

Hyperbolic systems of conservation laws

Pairs of conservation laws

Notes

References.

Notes:

Based on lectures delivered at a regional conference held at the University of California at Los Angeles in September, 1971, arranged by the Conference Board of Mathematical Sciences, and sponsored by the National Science Foundation.

Includes bibliographical references (p. 47-48).

Title from title screen, viewed 04/05/2011.

ISBN:

1-61197-056-3

Publisher Number:

CB11 SIAM