A theoretical definition of dimension of simply connected fractal objects in problems of the viscous “fingers” formation and the dendrites growth
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 231-241
O. N. Khatuntseva. A theoretical definition of dimension of simply connected fractal objects in problems of the viscous “fingers” formation and the dendrites growth. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 231-241. http://geodesic.mathdoc.fr/item/SJVM_2009_12_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The earlier developed method for a description of discontinuous functions is applied to the determination of parameters specifying fractal objects – dimension and geometrical coefficients for two classes of problems: the viscous “fingers” formation and the dendrites growth.

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[2] Khatuntseva O. N., “Operatornyi podkhod k opisaniyu razryvnykh funktsii. Metody modelirovaniya dissipativnykh i gisterezisnykh yavlenii”, Matematicheskoe modelirovanie, 17:8 (2005), 111–120 | Zbl

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[5] 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