La théorie des catastrophes. V. Transformées de Legendre et thermodynamique

Jean-Guy Dubois; Jean-Paul Dufour

Annales de l'I.H.P. Physique théorique (1978)

  • Volume: 29, Issue: 1, page 1-50
  • ISSN: 0246-0211

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Dubois, Jean-Guy, and Dufour, Jean-Paul. "La théorie des catastrophes. V. Transformées de Legendre et thermodynamique." Annales de l'I.H.P. Physique théorique 29.1 (1978): 1-50. <http://eudml.org/doc/75995>.

@article{Dubois1978,
author = {Dubois, Jean-Guy, Dufour, Jean-Paul},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Legendres Transformation; Qualitative Thermodynamics; Catastrophes; Contact Transformation},
language = {fre},
number = {1},
pages = {1-50},
publisher = {Gauthier-Villars},
title = {La théorie des catastrophes. V. Transformées de Legendre et thermodynamique},
url = {http://eudml.org/doc/75995},
volume = {29},
year = {1978},
}

TY - JOUR
AU - Dubois, Jean-Guy
AU - Dufour, Jean-Paul
TI - La théorie des catastrophes. V. Transformées de Legendre et thermodynamique
JO - Annales de l'I.H.P. Physique théorique
PY - 1978
PB - Gauthier-Villars
VL - 29
IS - 1
SP - 1
EP - 50
LA - fre
KW - Legendres Transformation; Qualitative Thermodynamics; Catastrophes; Contact Transformation
UR - http://eudml.org/doc/75995
ER -

References

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  1. [1] J.W. Gibbs, On the Equilibrium of Heterogeneous Substances, 1874-1878. JFM10.0759.01
  2. [2] V.I. Arnol'd, Critical points of smooth functions, dansCongrès International des Mathématiciens, le 17e. Vancouver. 1974. MR431217
  3. [3] J.N. Mather, Stability of C∞ mappings. II. Infinitesimal stability. Ann. of Math., no. 89, 1969, p. 254. Zbl0177.26002MR259953
  4. [4] L. Hormander, Fourier integral operators I. Acta Mathematica, vol. 127, 1971, p. 79. Zbl0212.46601MR388463
  5. [5] J.-G. Dubois, J.-P. Dufour, O. Stanek, La théorie des catastrophes. IV. Déploiements universels et leurs catastrophes. Ann. Inst. Henri Poincaré, vol. XXIV, no. 3, 1976, p. 261. Zbl0407.58015MR426023
  6. [6] J. Guckenheimer, Catastrophes and partial differential equations. Ann. Inst. Fourier, vol. 23, n° 2, 1973, p. 31. Zbl0271.35006MR365627
  7. [7] C. Zeeman, The classification of elementary catastrophes of codimension ≥ 5. dans Structural Stability, the Theory of Catastrophes, and Applications in the Sciences. Lecture Notes in Mathematics, vol. 525. Springer-Verlag, Berlin. 1976, p. 263. Zbl0342.58012MR515875
  8. [8] H.B. Callen, Thermodynamics, John Wiley, and Sons, New York, 1960. Zbl0095.23301
  9. [9] R. Thom, Stabilité structurelle et morphogenèse. Benjamin, Reading, Mass., 1972. Zbl0294.92001MR488155
  10. [10] J.E. Ricci, The Phase Rule and Heterogeneous Equilibrium. Dover Publ., New York, 1966. 
  11. [11] J.N. Mather, Stability of C∞ mappings. V. Transversality. Adv. in Math., vol. 4. 1970, p. 301. Zbl0207.54303MR275461
  12. [12] F. Latour. Stabilité des champs d'applications différentiables ; généralisation d'un théorème de J. Mather. C. R. Acad Sci Paris, t. 268. 1969. p. 1331. Zbl0184.48501MR246313
  13. [13] J.J. Duistermaat, Oscillatory Integrals. Lagrange Immersions, and Unfoldings of Singularities. Commun. pure appl. Math., vol. XXVII, no. 2. 1974, p. 207. Zbl0285.35010MR405513

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