Hyperbolic Conservation Laws in Continuum Physics

1. Balance Laws
Constantine M. Dafermos

2. Introduction to Continuum Physics
Constantine M. Dafermos

3. Hyperbolic Systems of Balance Laws
Constantine M. Dafermos

4. The Cauchy Problem
Constantine M. Dafermos

5. Entropy and the Stability of Classical Solutions
Constantine M. Dafermos

6. The L
1 Theory for Scalar Conservation Laws
Constantine M. Dafermos

7. Hyperbolic Systems of Balance Laws in One-Space Dimension
Constantine M. Dafermos

8. Admissible Shocks
Constantine M. Dafermos

9. Admissible Wave Fans and the Riemann Problem
Constantine M. Dafermos

10. Generalized Characteristics
Constantine M. Dafermos

11. Genuinely Nonlinear Scalar Conservation Laws
Constantine M. Dafermos

12. Genuinely Nonlinear Systems of Two Conservation Laws
Constantine M. Dafermos

13. The Random Choice Method
Constantine M. Dafermos

14. The Front Tracking Method and Standard Riemann Semigroups
Constantine M. Dafermos

15. Construction of BV Solutions by the Vanishing Viscosity Method
Constantine M. Dafermos

16. Compensated Compactness
Constantine M. Dafermos

17. Conservation Laws in Two Space Dimensions
Constantine M. Dafermos

Keywords: Mathematics, Partial Differential Equations, Thermodynamics, Mechanics, Continuum Mechanics and Mechanics of Materials, Structural Mechanics