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2008 | 114 | 3 | 607-611
Article title

Subdiffusion with External Time Modulation

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EN
Abstracts
EN
A subdiffusion process, similar to a Zeldovich-Kompaneets heat conduction process, is defined by a nonlinear diffusion equation in which the diffusion coefficient takes the form D=a(t)f^n, where a=a(t) is an external time modulation, n is a positive constant, and f=f(x, t) is a solution to the nonlinear diffusive equation. It is shown that a Zeldovich-Kompaneets solution satisfies the subdiffusion equation if a=a(t) is replaced by the mean value of a. Also, a solution to the subdiffusion equation is constructed that may be useful in description of biological, social, and financial processes.
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author
  • IPPT PAN, Świętokrzyska 21, 00-049 Warszawa, Poland
References
  • 1. Y.B. Zeldovich, A.S. Kompaneets,it Collection of papers celebrating the seventieth birthday of Academician A.F. Ioffe, Ed. P.I. Lukirskii, Moskva 1950, p. 61 (in Russian)
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Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv114n316kz
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