Geodesic
Features of description of physical processes in fractal spaces
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 1, pp. 101-109.

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This paper offers a method of description of physical processes that take place in fractal spaces with the use of differential equations. The latter describe similar processes in the Euclidean spaces, introducing an additional coordinate that specifies the point-wise scale of fractal partitioning at each point. 
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O. N. Khatuntseva. Features of description of physical processes in fractal spaces. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 1, pp. 101-109. http://geodesic.mathdoc.fr/item/SJVM_2010_13_1_a8/

[1] Landau L. D., Lifshits E. M., Teoreticheskaya fizika. T. VI. Gidrodinamika, Nauka, M., 1988

[2] Sattarov R. M., Nagiev F. B., Mamedov R. M., “Protsessy teploperenosa v reologicheski slozhnykh zhidkostyakh s fraktalnoi strukturoi”, Minskii mezhdunar. forum, MMF-96 “Teplomassoobmen”, T. VI, Minsk, 1996, 198–205

[3] Olemskoi A. I., Flat A. Ya., “Ispolzovanie kontseptsii fraktala v fizike kondensirovannoi sredy”, Uspekhi fizicheskikh nauk, 163:12 (1993), 1–48

[4] Hentschel H. G. E., Procaccia I., “Fractal nature of turbulence as manifested in turbulent diffusion”, Phys. Rev. A, 27 (1983), 1266–1269 | DOI | MR

[5] Hentschel H. G. E., Procaccia I., “Relative diffusion in turbulent media: The fractal dimension of clouds”, Phys. Rev. A, 29 (1984), 1461–1470 | DOI | MR

[6] Khatuntseva O. N., “Teoreticheskoe opredelenie razmernosti odnosvyaznykh fraktalnykh ob'ektov v zadachakh obrazovaniya vyazkikh “paltsev” i roste dendritov”, Sib. zhurn. vychisl. matematiki, 12:2 (2009), 231–241

[7] Feder E., Fraktaly, Mir, M., 1991 | MR

[8] Balkhanov V. K., Vvedenie v teoriyu fraktalnogo ischisleniya, Izd-vo Buryatskogo gosuniversiteta, Ulan-Ude, 2001

[9] Noskov M. D., Malinovskii A. S., Zakk M., Shvab A. I., “Modelirovanie rosta dendritov i chastichnykh razryadov v epoksidnoi smole”, ZhTF, 72:2 (2002), 121–128

[10] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972 | MR | Zbl