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Global thermodynamics, exterior Banach forms and Gâteaux differential equations. (English) Zbl 0386.73002
Trends Appl. Pure Math. Mech., Collect. pap. present. Conf. Univ. Lecce 1975, 1-51 (1976).

74A15 Thermodynamics in solid mechanics
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
46B99 Normed linear spaces and Banach spaces; Banach lattices
49Q99 Manifolds and measure-geometric topics
47J05 Equations involving nonlinear operators (general)
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
58A15 Exterior differential systems (Cartan theory)