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On nonlinear diffusion in fractal structures

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  • Pascal, J.P.
  • Pascal, H.

Abstract

An exact similarity solution for nonlinear diffusion in fractal sructures, in the presence of absorption, is presented and disscused. The concentration distribution in a spherical symmetry geometry for the Cauchy problem, corresponding to an instantaneous point source solution, reveals the occurence of traveling wave characteristics. The conditions for the existence of these diffusive waves are shown in terms of nonlinear and fractal effects. The absorption effect gives rise to a spatial localization of the moving concentration front.

Suggested Citation

  • Pascal, J.P. & Pascal, H., 1994. "On nonlinear diffusion in fractal structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(3), pages 351-358.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:3:p:351-358
    DOI: 10.1016/0378-4371(94)00052-2
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    References listed on IDEAS

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    1. Rigord, P. & Hulin, J.P., 1989. "An experimental model of diffusion on bidimensional systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 509-513.
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    Cited by:

    1. Pascal, J.P., 1996. "Effects of nonlinear diffusion in a two-phase system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 223(1), pages 99-112.

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