Hyperbolic Conservation Laws in Continuum Physics

✍ Scribed by Constantine M. Dafermos (auth.)

• Publisher: Springer Berlin Heidelberg
• Year: 2000
• Tongue: English
• Leaves: 450
• Series: Grundlehren der mathematischen Wissenschaften 325
• Category: Library

✦ Table of Contents

Front Matter....Pages I-XVI
Balance Laws....Pages 1-18
Introduction to Continuum Physics....Pages 19-35
Hyperbolic Systems of Balance Laws....Pages 37-47
The Initial-Value Problem: Admissibility of Solutions....Pages 49-60
Entropy and the Stability of Classical Solutions....Pages 61-82
The L 1 Theory of the Scalar Conservation Law....Pages 83-119
Hyperbolic Systems of Balance Laws in One-Space Dimension....Pages 121-145
Admissible Shocks....Pages 147-174
Admissible Wave Fans and the Riemann Problem....Pages 175-202
Generalized Characteristics....Pages 203-208
Genuinely Nonlinear Scalar Conservation Laws....Pages 209-237
Genuinely Nonlinear Systems of Two Conservation Laws....Pages 239-297
The Random Choice Method....Pages 299-335
The Front Tracking Method and Standard Riemann Semigroups....Pages 337-369
Compensated Compactness....Pages 371-395
Back Matter....Pages 397-446

✦ Subjects

Partial Differential Equations;Thermodynamics;Mechanics