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Title: Actions with the conservation property (English)
Author: Šilhavý, Miroslav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 30
Issue: 2
Year: 1985
Pages: 140-153
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
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. (English)
Keyword: actions with the conservation property
Keyword: conservative property at one state
Keyword: at every state
Keyword: everywhere defined continuous potential
Keyword: semi- systems
MSC: 74A15
MSC: 80A05
idZBL: Zbl 0576.73008
idMR: MR0778984
DOI: 10.21136/AM.1985.104134
Date available: 2008-05-20T18:27:03Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] Bernard D. Coleman, David R. Owen: A mathematical foundation for thermodynamics.Arch. Rational Mech. Anal., 54 (1974), 1-104. MR 0395502, 10.1007/BF00251256
Reference: [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, 10.1007/BF00248632
Reference: [3] Miroslav Šilhavý: On measures, convex cones, and foundations of thermodynamics, I & II.Czech. J. Phys. B 30 (1980), 841-861 and 961-992. MR 0587003, 10.1007/BF01604669
Reference: [4] Miroslav Šilhavý: On the second law of thermodynamics I & II.Czech. J. Phys. B 32 (1982), 987-1007 and 1011-1033. MR 0686657, 10.1007/BF01597172
Reference: [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
Reference: [6] Bernard D. Coleman, David R. Owen: On thermodynamics and elastic-plastic materials.Arch. Rational Mech. Anal. 59 (1975), 25-51. MR 0381526, 10.1007/BF00281515
Reference: [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. MR 0574161, 10.1007/BF00281159
Reference: [8] Clifford Truesdell: Rational Thermodynamics.Second edition. Springer-Verlag. 1984. MR 0766401


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