# Actions with the conservation property

Aplikace matematiky (1985)

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

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topŠilhavý, 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

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

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