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Titlebook: Hyperbolic Conservation Laws in Continuum Physics; Constantine M. Dafermos Book 20052nd edition Springer-Verlag Berlin Heidelberg 2005 Ent

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https://doi.org/10.1007/3-540-29089-3Entropy; hyperbolic conservation laws; partial differential equation; partial differential equations; th
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Hyperbolic Systems of Balance Laws in One-Space Dimension,ir relation to entropy; simple waves; genuine nonlinearity and its role in the breakdown of classical solutions..In order to set the stage, the chapter opens with the presentation of a number of illustrative examples of hyperbolic systems of balance laws in one-space dimension, arising in physics or other branches of science and technology.
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Introduction to Continuum Physics,nstitutive equations of thermoelasticity and thermoviscoelasticity will be introduced. Restrictions imposed by the Second Law of thermodynamics, the principle of material frame indifference, and material symmetry will be discussed.
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The Cauchy Problem,uced in this chapter: the requirement that admissible solutions satisfy a designated entropy inequality; and the principle that admissible solutions should be limits of families of solutions to systems containing diffusive terms, as the diffusion asymptotically vanishes. A preliminary comparison of
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