Abstract
Hamilton's variational principle is formulated for an unsteady heat-conduction process in a solid incompressible medium. We establish the form of the Lagrange and Hamilton functions as well as of the canonic equations for the process described by a hyperbolic-type differential equation.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 29, No. 5, pp. 933–937, November, 1975.
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Samoilovich, Y.A. Lagrange formalism in heat-conduction theory. Journal of Engineering Physics 29, 1467–1470 (1975). https://doi.org/10.1007/BF00858187
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DOI: https://doi.org/10.1007/BF00858187