Hyberbolic Conservation Laws in Continuum Physics

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...

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Detalles Bibliográficos
Autor principal: Dafermos, Constantine M., 1941-
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books [20..].
Cham : Springer Nature
Edición:Second Edition.
Colección:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 325
Acceso en línea:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, 2nd edition, 2005, Berlin, Springer, 1 vol. (XIX-626 p.), Grundlehren der mathematischen Wissenschaften, 3-540-25452-8
Tabla de Contenidos:
  • 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