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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2009 Volume 12, Number 2, Pages 231–241 (Mi sjvm13)

This article is cited in 3 papers

A theoretical definition of dimension of simply connected fractal objects in problems of the viscous “fingers” formation and the dendrites growth

O. N. Khatuntseva

S. P. Korolev Rocket and Space Corporation "Energia"

Abstract: 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.

Key words: fractal, fractional dimension, discontinuity of the first kind.

UDC: 530.1

Received: 07.10.2007


 English version:
Numerical Analysis and Applications, 2009, 2:2, 187–195

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