Previous |  Up |  Next

Article

Keywords:
actions with the conservation property; conservative property at one state; at every state; everywhere defined continuous potential; semi- systems
Summary:
The paper deals with the theory of actions on thermodynamical systems. It is proved that if an action has the conservation property at least at one state then it has the conservation property at every state and admits an everywhere defined continuous potential. An analogous result for semi-systems is also proved.
References:
[1] Bernard D. Coleman, David R. Owen: A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal., 54 (1974), 1-104. MR 0395502
[2] Bernard D. Coleman, David R. Owen: On the thermodynamics of semi-systems with restrictions on the accessibility of states. Arch. Rational Mech. Anal., 66 (1977), 173-181. MR 0495795
[3] Miroslav Šilhavý: On measures, convex cones, and foundations of thermodynamics, I & II. Czech. J. Phys. B 30 (1980), 841-861 and 961-992. DOI 10.1007/BF01604669 | MR 0587003
[4] Miroslav Šilhavý: On the second law of thermodynamics I & II. Czech. J. Phys. B 32 (1982), 987-1007 and 1011-1033. DOI 10.1007/BF01597172 | MR 0686657
[5] Miroslav Šilhavý: Foundations of continuum thermodynamics. To appear in: Proceedings of the Workshop on laws and structure of continuum thermodynamics, University of Minnesota, Minneapolis 1983. Springer. MR 0848767
[6] Bernard D. Coleman, David R. Owen: On thermodynamics and elastic-plastic materials. Arch. Rational Mech. Anal. 59 (1975), 25-51. DOI 10.1007/BF00281515 | MR 0381526
[7] Bernard D. Coleman, David R. Owen: On thermodynamics of elastic-plastic materials with temperature-dependent moduli and yield stresses. Arch. Rational Mech. Anal. 70 (1979), 339-354. DOI 10.1007/BF00281159 | MR 0574161
[8] Clifford Truesdell: Rational Thermodynamics. Second edition. Springer-Verlag. 1984. MR 0766401
Partner of
EuDML logo