On the mathematical formulation of the first principle of thermodynamics for non-uniform temperature processes
A. Paglietti (1979)
Annales de l'I.H.P. Physique théorique
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A. Paglietti (1979)
Annales de l'I.H.P. Physique théorique
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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...
Enrico Massa, Angelo Morro (1978)
Annales de l'I.H.P. Physique théorique
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D. Pavón, D. Jou, J. Casas-Vázquez (1985)
Annales de l'I.H.P. Physique théorique
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Nelson, M. I., Brindley, J., McIntosh, A. C. (2002)
Journal of Applied Mathematics and Decision Sciences
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A. Rudajevová, P. Lukáč (2000)
Acta Universitatis Carolinae. Mathematica et Physica
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Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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Christof Eck, Jiří Jarušek (2001)
Mathematica Bohemica
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A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.