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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 2, Pages 231–241 (Mi sjvm13)  
This article is cited in 3 scientific papers (total 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"
Full-text PDF (208 kB) Citations (3)
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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.
Received: 07.10.2007
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 2, Pages 187–195
DOI: https://doi.org/10.1134/S1995423909020104
Bibliographic databases:
UDC: 530.1
Language: Russian
Citation: O. N. Khatuntseva, “A theoretical definition of dimension of simply connected fractal objects in problems of the viscous “fingers” formation and the dendrites growth”, Sib. Zh. Vychisl. Mat., 12:2 (2009), 231–241; Num. Anal. Appl., 2:2 (2009), 187–195
Citation in format AMSBIB
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\by O.~N.~Khatuntseva
\paper A~theoretical definition of dimension of simply connected fractal objects in problems of the viscous ``fingers'' formation and the dendrites growth
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 2
\pages 231--241
\mathnet{http://mi.mathnet.ru/sjvm13}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 2
\pages 187--195
\crossref{https://doi.org/10.1134/S1995423909020104}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67650398348}
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    • This publication is cited in the following 3 articles:
    1. O. N. Khatuntseva, “Method for description of heat transfer processes in fractal systems using scale variable”, Num. Anal. Appl., 8:1 (2015), 81–88  mathnet  crossref  mathscinet  elib  elib
    2. Khatuntseva O.N., “Analysis of the reasons for an aerodynamic hysteresis in flight tests of the Soyuz reentry capsule at the hypersonic segment of its descent”, Journal of Applied Mechanics and Technical Physics, 52:4 (2011), 544–552  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. O. N. Khatuntseva, “Features of description of physical processes in fractal spaces”, Num. Anal. Appl., 3:1 (2010), 82–89  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Full-text PDF :2645
    References:94
    First page:37
     
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