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On dynamics and thermodynamics of moving media. (English) Zbl 07896164

MSC:

74Axx Generalities, axiomatics, foundations of continuum mechanics of solids
80Axx Thermodynamics and heat transfer
35Qxx Partial differential equations of mathematical physics and other areas of application

References:

[1] A. Duyunova, V. Lychagin, and S. Tychkov, ‘‘Continuum mechanics of media with inner structures,’’ Differ. Geom. Appl. 74, 101703 (2021). · Zbl 1459.35309
[2] V. Lychagin, ‘‘Thermodynamics as a theory of measurement,’’ J. Geom. Phys. 172, 104430 (2022). · Zbl 1483.80002
[3] Duyunova, A.; Lychagin, V.; Tychkov, S., Thermodynamics of one-dimensional flows, Lobachevskii J. Math., 44, 3913-3917, 2023 · Zbl 1531.35253 · doi:10.1134/S1995080223090081
[4] Lychagin, V., On thermodynamics of multicomponent systems, Lobachevskii J. Math., 44, 3951-3961, 2023 · Zbl 07792259 · doi:10.1134/S1995080223090226
[5] Capriz, G., Continua with Microstructure, 1989, New York: Springer, New York · Zbl 0676.73001 · doi:10.1007/978-1-4612-3584-2
[6] Rubin, M. B., Cosserat Theories: Shells, Rods and Points, 2000, Dordrecht: Springer, Dordrecht · Zbl 0984.74003 · doi:10.1007/978-94-015-9379-3
[7] Vardoulakis, I., Cosserat Continuum Mechanics: With Applications to Granular Media, 2019, Cham: Springer Int, Cham · Zbl 1430.74002 · doi:10.1007/978-3-319-95156-0
[8] Ehrenfest, P., Phasenumwandlungen im ueblichen und erweiterten Sinn, classifiziert nach den entsprechenden Singularitaeten des thermodynamischen Potentiales, 1933 · JFM 59.1499.08
[9] Lychagin, V. V.; Roop, M. D., Critical phenomena in filtration processes of real gases, Lobachevskii J. Math., 41, 382-399, 2020 · Zbl 1453.80004 · doi:10.1134/S1995080220030129
[10] M. Rosenlicht, ‘‘A remark on quotient spaces,’’ An. Acad. Brasil. Ci. 35 (4) (1963). · Zbl 0123.13804
[11] Procesi, C., Lie Groups: An Approach through Invariants and Representations, 2007, New York: Springer Universitext, New York · Zbl 1154.22001
[12] Groot, S. R. d.; Mazur, P., Non-Equilibrium Thermodynamics, 1984 · Zbl 1375.82004
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