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Thermodynamic stability of continuous body. (English) Zbl 0582.73006
M. E. Gurtin [Arch. Rat. Mech. Anal. 59, 63-96 (1975; Zbl 0341.73003)], has been proposed a general stability theory of thermodynamics. In this paper the author extends Gurtin’s stability theory to the non-autonomous case. A slightly modified version of Gurtin’s theory of dynamical systems is presented, and some new sufficient conditions for Lyapunov stability of thermodynamical systems are proved. The paper is a real contribution towards bringing about a unified general theory of dynamical systems and a general stability theory of thermodynamics.
Reviewer: Gh.Gr.Ciobanu
MSC:
74A15 Thermodynamics in solid mechanics
70K20 Stability for nonlinear problems in mechanics
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
54H20 Topological dynamics (MSC2010)
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