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- W2048571799 abstract "Some variational principles describing the behavior of nonstationary dissipative processes are presented. These criteria appear as an extension of Hamilton's principle to dissipative systems. Firstly, processes with vanishing barycentric velocity, i.e., of purely dissipative nature, are considered. The principle proposed is a slight modification of a criterion derived previously by the authors: The central quantity in the expression of the principle is however no longer the Legendre transform of the entropy per unit mass but is here the Legendre transform of the internal energy per unit volume. As an illustrative example, thermodiffusion is considered. Afterwards, the principle is generalized to describe the flow of a compressible, Newtonian fluid in which temperature effects are not neglected. After having shown that the Euler-Lagrange equations are equivalent to the conservation laws, some particular expressions of the principle, corresponding to special situations like the stationary case and fixed boundary conditions, are given." @default.
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- W2048571799 date "1973-09-15" @default.
- W2048571799 modified "2023-10-17" @default.
- W2048571799 title "Generalization of Hamilton's principle to continuous dissipative systems" @default.
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- W2048571799 doi "https://doi.org/10.1063/1.1680425" @default.
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