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Dubois, Jean-Guy; Dufour, Jean-Paul

La théorie des catastrophes. V: Transformees de Legendre et thermodynamique. (French) Zbl 0407.58016

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 29, 1-50 (1978).
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Cited in 2 Documents

MSC:

58K35 Catastrophe theory
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
80A05 Foundations of thermodynamics and heat transfer

Keywords:

Legendres Transformation; Qualitative Thermodynamics; Catastrophes; Contact Transformation

Citations:

Zbl 0293.58004; Zbl 0293.58005
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\textit{J.-G. Dubois} and \textit{J.-P. Dufour}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 29, 1--50 (1978; Zbl 0407.58016)
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References:

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[8] H.B. Callen , Thermodynamics , John Wiley, and Sons , New York , 1960 . Zbl 0095.23301 · Zbl 0095.23301
[9] R. Thom , Stabilité structurelle et morphogenèse . Benjamin , Reading, Mass ., 1972 . MR 488155 | Zbl 0294.92001 · Zbl 0294.92001
[10] J.E. Ricci , The Phase Rule and Heterogeneous Equilibrium . Dover Publ ., New York , 1966 .
[11] J.N. Mather , Stability of C\infty mappings. V. Transversality . Adv. in Math. , vol. 4 . 1970 , p. 301 . MR 275461 | Zbl 0207.54303 · Zbl 0207.54303
[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 . MR 246313 | Zbl 0184.48501 · Zbl 0184.48501
[13] J.J. Duistermaat , Oscillatory Integrals. Lagrange Immersions, and Unfoldings of Singularities . Commun. pure appl. Math. , vol. XXVII , no. 2 . 1974 , p. 207 . MR 405513 | Zbl 0285.35010 · Zbl 0285.35010
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