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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
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
Citation:
L. I. Serbina, “On one mathematical model of substance transfer in fractal media”, Matem. Mod., 15:9 (2003), 17–28
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https://www.mathnet.ru/eng/mm394 https://www.mathnet.ru/eng/mm/v15/i9/p17
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Abstract page: | 551 | Full-text PDF : | 220 | References: | 72 | First page: | 4 |
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