On complicated models of continuous media in the general theory of relativity

DOI10.1016/0021-8928(87)90127-4zbMath0678.73006OpenAlexW2094552718MaRDI QIDQ1124404

A. G. Tsypkin

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90127-4

zbMATH Keywords

variational equationenergy-momentum tensorLagrangianirreversible processesdepends on supplementary thermodynamic parametersequations of momentasystem of Euler's equationsthermodynamically closed system

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Applications of local differential geometry to the sciences (53B50) Variational principles of physics (49S05)

Related Items (2)

Consistent hypo-elastic behavior using the four-dimensional formalism of differential geometry ⋮ Derivation of Cosserat's medium equations using different multi-dimensional frameworks

Cites Work

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• On the definition of variations in the mechanics of continuous media
• On the variational method of derivation of equations of state for a material medium and a gravitational field
• On the construction of models of continuous media interacting with an electromagnetic field
• On a discription of dynamical properties of the gravitational field in vacuum

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