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Matematicheskoe modelirovanie, 2003, Volume 15, Number 9, Pages 17–28 (Mi mm394)  

This article is cited in 4 scientific papers (total in 4 papers)

On one mathematical model of substance transfer in fractal media

L. I. Serbina

Scientific Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Centre of the Russian Academy of Sciences
Full-text PDF (815 kB) Citations (4)
References:
Abstract: Qualitatively new mathematical model of finite-size waves propagation in semi-boundless channel filled with liquid or gas and having flat parallel walls, which are surrounded by fractal media. For this model, which is a one-dimensional wave equation with fractional sum of $3/2$ order, existence of singular solution is proved. Co-structural form of this solution is established by Fourier method. Solution of Cauchy problem for this model is found by integral equations method for the case when the speed of filtration changes according to law which considers the effects of the filtration processes in fractal media.
Received: 20.03.2002
Bibliographic databases:
UDC: 301+51.77
Language: Russian
Citation: L. I. Serbina, “On one mathematical model of substance transfer in fractal media”, Matem. Mod., 15:9 (2003), 17–28
Citation in format AMSBIB
\Bibitem{Ser03}
\by L.~I.~Serbina
\paper On one mathematical model of substance transfer in fractal media
\jour Matem. Mod.
\yr 2003
\vol 15
\issue 9
\pages 17--28
\mathnet{http://mi.mathnet.ru/mm394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2025704}
\zmath{https://zbmath.org/?q=an:1048.76056}
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  • https://www.mathnet.ru/eng/mm/v15/i9/p17
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:551
    Full-text PDF :220
    References:72
    First page:4
     
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