Hyperbolic Conservation Laws in Continuum Physics
This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2010.
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| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
325 |
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Balance Laws
- to Continuum Physics
- Hyperbolic Systems of Balance Laws
- The Cauchy Problem
- Entropy and the Stability of Classical Solutions
- The Theory for Scalar Conservation Laws
- Hyperbolic Systems of Balance Laws in One-Space Dimension
- Admissible Shocks
- Admissible Wave Fans and the Riemann Problem
- Generalized Characteristics
- Genuinely Nonlinear Scalar Conservation Laws
- Genuinely Nonlinear Systems of Two Conservation Laws
- The Random Choice Method
- The Front Tracking Method and Standard Riemann Semigroups
- Construction of Solutions by the Vanishing Viscosity Method
- Compensated Compactness
- Conservation Laws in Two Space Dimensions.
