4.4 Article

Diffusion with Nonlinear Adsorption

Journal

ACTA APPLICANDAE MATHEMATICAE
Volume 105, Issue 3, Pages 303-321

Publisher

SPRINGER
DOI: 10.1007/s10440-008-9276-5

Keywords

Diffusion; Adsorption; Stabilization

Funding

  1. Ministry of Education of the Czech Republic [RP360469007, MSM 6198959214]

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This article deals with the mathematical description of the process of washing a contaminant out of a porous material sample. Important applications of this process in the leather-making industry are discussed. Part of the contaminant is held in the porous material by an active chemical bond due to adsorption which makes the governing equations nonlinear. We prove existence and uniqueness of a weak solution to the proposed model and show its stabilization for time converging to infinity.

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