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Some exact solutions for nonlinear desorptive diffusion

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Abstract

The existence is pointed out of a class of exact solutions for desorption which can be obtained by means of a simple inversion method. This method is related to that proposed by Philip (1960) for sorption and redistribution and it consists of the inversion of the diffusivity equation of Matano (1933) and Bruce and Klute (1952). Some of the exact solutions can be useful in the study of problems encountered in flow in porous media.

Résumé

On démontre l'existence d'une classe de solutions exactes pour le problème de désorption qui peuvent être obtenues par une méthode d'inversion. Cette méthode correspond à la méthode proposée par Philip (1960) pour sorption et rédistribution, et elle consiste de l'inversion de l'équation pour la diffusivité de Matano (1933) et de Bruce et Klute (1952). Quelques unes de ces solutions peuvent être utiles dans l'étude du mouvement de fluides en milieux poreux.

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Authors and Affiliations

  1. School of Civil and Environmental Engineering, Cornell University, Ithaca, New York, USA

    Wilfried Brutsaert

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  1. Wilfried Brutsaert
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Brutsaert, W. Some exact solutions for nonlinear desorptive diffusion. Z. angew. Math. Phys. 33, 540–546 (1982). https://doi.org/10.1007/BF00955702

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  • DOI: https://doi.org/10.1007/BF00955702

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