On nonlinear diffusion in fractal structures

J.P. Pascal and H. Pascal

Physica A: Statistical Mechanics and its Applications, 1994, vol. 208, issue 3, 351-358

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:208:y:1994:i:3:p:351-358

DOI: 10.1016/0378-4371(94)00052-2

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