Geodesic
Variations principles of thermodynamic as the foundation for calculations of multiphase flow
Matematičeskoe modelirovanie, Tome 30 (2018) no. 1, pp. 76-90.

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There are mathematical models for equilibrium states of multicomponents, multiphase thermodynamic systems those are based on variations principles of mechanics. There are formulated the properties of calculations methods, criterions of the identical with model and acceptable precision of the solution on the base of mathematical properties of sets, functions and tasks researches. The results of numerical researches by developed program complexes confirm the efficiency of propositional models and methods.
Keywords: thermodynamic system, multicomponents mixture, integral, linear, convex programming, criteria of model adequacy. 
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R. R. Nazyrova. Variations principles of thermodynamic as the foundation for calculations of multiphase flow. Matematičeskoe modelirovanie, Tome 30 (2018) no. 1, pp. 76-90. http://geodesic.mathdoc.fr/item/MM_2018_30_1_a6/

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