Actions with the conservation property

Miroslav Šilhavý

Aplikace matematiky (1985)

  • Volume: 30, Issue: 2, page 140-153
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Šilhavý, Miroslav. "Actions with the conservation property." Aplikace matematiky 30.2 (1985): 140-153. <http://eudml.org/doc/15391>.

@article{Šilhavý1985,
abstract = {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.},
author = {Šilhavý, Miroslav},
journal = {Aplikace matematiky},
keywords = {actions with the conservation property; conservative property at one state; at every state; everywhere defined continuous potential; semi- systems; actions with the conservation property; conservative property at one state; at every state; everywhere defined continuous potential; semi- systems},
language = {eng},
number = {2},
pages = {140-153},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Actions with the conservation property},
url = {http://eudml.org/doc/15391},
volume = {30},
year = {1985},
}

TY - JOUR
AU - Šilhavý, Miroslav
TI - Actions with the conservation property
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 2
SP - 140
EP - 153
AB - 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.
LA - eng
KW - actions with the conservation property; conservative property at one state; at every state; everywhere defined continuous potential; semi- systems; actions with the conservation property; conservative property at one state; at every state; everywhere defined continuous potential; semi- systems
UR - http://eudml.org/doc/15391
ER -

References

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  1. Bernard D. Coleman, David R. Owen, A mathematical foundation for thermodynamics, Arch. Rational Mech. Anal., 54 (1974), 1-104. (1974) Zbl0306.73004MR0395502
  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. (1977) Zbl0412.93001MR0495795
  3. Miroslav Šilhavý, 10.1007/BF01604669, Czech. J. Phys. B 30 (1980), 841-861 and 961-992. (1980) MR0587003DOI10.1007/BF01604669
  4. Miroslav Šilhavý, 10.1007/BF01597172, Czech. J. Phys. B 32 (1982), 987-1007 and 1011-1033. (1982) MR0686657DOI10.1007/BF01597172
  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. (1983) MR0848767
  6. Bernard D. Coleman, David R. Owen, 10.1007/BF00281515, Arch. Rational Mech. Anal. 59 (1975), 25-51. (1975) Zbl0332.73003MR0381526DOI10.1007/BF00281515
  7. Bernard D. Coleman, David R. Owen, 10.1007/BF00281159, Arch. Rational Mech. Anal. 70 (1979), 339-354. (1979) Zbl0441.73007MR0574161DOI10.1007/BF00281159
  8. Clifford Truesdell, Rational Thermodynamics, Second edition. Springer-Verlag. 1984. (1984) MR0766401

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