Displaying similar documents to “Some remarks on growth and uniqueness in thermoelasticity.”

On a supplementary conservation law for a hyperbolic model of heat conductor

Mariano Torrisi, Antonino Valenti (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In the context of the wave propagation theory in nonlinear hyperbolic systems, we analyse, in the case of a rigid heat conductor, the model proposed by G. Grioli. After introducing the constitutive relations according to the point of view of the extended thermodynamics, we look for the compatibility of the governing equations with a supplementary conservation law. We obtain the functional form of the constitutive quantities and we are able to show that the governing equations may be...

The Hamilton Principle for Fluid Binary Mixtures with two Temperatures

Henri Gouin, Tommaso Ruggeri (2009)

Bollettino dell'Unione Matematica Italiana

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For binary mixtures of fluids without chemical reactions, but with components having different temperatures, the Hamilton principle of least action is able to produce the equation of motion for each component and a balance equation of the total heat exchange between components. In this nonconservative case, a Gibbs dynamical identity connecting the equations of momenta, masses, energy and heat exchange allows to deduce the balance equation of energy of the mixture. Due to the unknown...