Hyberbolic Conservation Laws in Continuum Physics

1. Balance Laws

2. Introduction to Continuum Physics

3. Hyperbolic Systems of Balance Laws

4. The Cauchy Problem

5. Entropy and the Stability of Classical Solutions

6. The L1 Theory for Scalar Conservation Laws

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

8. Admissible Shocks

9. Admissible Wave Fans and the Riemann Problem

10. Generalized Characteristics.

11. Genuinely Nonlinear Scalar Conservation Laws

12. Genuinely Nonlinear Systems of Two Conservation Laws

13. The Random Choice Method

14. The Front Tracking Method and Standard Riemann Semigroups

15. Construction of BV Solutions by the Vanishing Viscosity Method

16. Compensated Compactness

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000