Hyberbolic Conservation Laws in Continuum Physics

• Κύριος συγγραφέας: Dafermos, Constantine M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Έκδοση: Second Edition.
• Σειρά: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 325
• Θέματα: Mathematics.; Partial differential equations.; Mechanics.; Thermodynamics.; Partial Differential Equations.

This masterly exposition of the mathematical theory of hyperbolic system for conservation laws brings out the intimate connection with continuum thermodynamics, by emphasising issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may di...

Πίνακας περιεχομένων:

• Balance Laws
• to Continuum Physics
• Hyperbolic Systems of Balance Laws
• The Cauchy Problem
• Entropy and the Stability of Classical Solutions
• The L1 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 BV Solutions by the Vanishing Viscosity Method
• Compensated Compactness.