Geodesic
Actions with the conservation property
Applications of Mathematics, Tome 30 (1985) no. 2, pp. 140-153
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1985.104134
Classification : 74A15, 80A05
Keywords: actions with the conservation property; conservative property at one state; at every state; everywhere defined continuous potential; semi- systems 
@article{10_21136_AM_1985_104134,
     author = {\v{S}ilhav\'y, Miroslav},
     title = {Actions with the conservation property},
     journal = {Applications of Mathematics},
     pages = {140--153},
     year = {1985},
     volume = {30},
     number = {2},
     doi = {10.21136/AM.1985.104134},
     mrnumber = {0778984},
     zbl = {0576.73008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1985.104134/}
}
TY  - JOUR
AU  - Šilhavý, Miroslav
TI  - Actions with the conservation property
JO  - Applications of Mathematics
PY  - 1985
SP  - 140
EP  - 153
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1985.104134/
DO  - 10.21136/AM.1985.104134
LA  - en
ID  - 10_21136_AM_1985_104134
ER  - 
%0 Journal Article
%A Šilhavý, Miroslav
%T Actions with the conservation property
%J Applications of Mathematics
%D 1985
%P 140-153
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1985.104134/
%R 10.21136/AM.1985.104134
%G en
%F 10_21136_AM_1985_104134
Šilhavý, Miroslav. Actions with the conservation property. Applications of Mathematics, Tome 30 (1985) no. 2, pp. 140-153. doi: 10.21136/AM.1985.104134

[1] Bernard D. Coleman, David R. Owen: A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal., 54 (1974), 1-104. | DOI | MR

[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. | DOI | MR

[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 | MR

[4] Miroslav Šilhavý: On the second law of thermodynamics I & II. Czech. J. Phys. B 32 (1982), 987-1007 and 1011-1033. | DOI | MR

[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

[6] Bernard D. Coleman, David R. Owen: On thermodynamics and elastic-plastic materials. Arch. Rational Mech. Anal. 59 (1975), 25-51. | DOI | MR

[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 | MR

[8] Clifford Truesdell: Rational Thermodynamics. Second edition. Springer-Verlag. 1984. | MR

Cité par Sources :