ABSTRACT

The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics. Until now, however, most accounts of this method have been confined to research papers. Offering the first comprehensive treatment, Hyperbolic Conservation Laws and the Compensated Comp

chapter Chapter 1|8 pages

Preliminary

chapter Chapter 2|22 pages

Theory of Compensated Compactness

chapter Chapter 3|12 pages

Cauchy Problem for Scalar Equation

chapter Chapter 4|4 pages

Preliminaries in 2 × 2 Hyperbolic System

chapter Chapter 5|6 pages

A Symmetry System

chapter Chapter 6|18 pages

A System of Quadratic Flux

chapter Chapter 7|14 pages

Le Roux System

chapter Chapter 8|36 pages

System of Polytropic Gas Dynamics

chapter Chapter 9|16 pages

Two Special Systems of Euler Equations

chapter Chapter 10|10 pages

General Euler Equations of Compressible Fluid Flow

chapter Chapter 11|12 pages

Extended Systems of Elasticity

chapter Chapter 12|16 pages

LpCase to Systems of Elasticity

chapter Chapter 13|4 pages

Preliminaries in Relaxation Singularity

chapter Chapter 14|24 pages

Stiff Relaxation and Dominant Diffusion

chapter Chapter 15|14 pages

Hyperbolic Systems with Stiff Relaxation

chapter Chapter 16|12 pages

Relaxation for 3 × 3 Systems