Diffusion with Nonlinear Adsorption

• Autores: Tomás Fürst, Rostislav Vodák
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 105, Nº. 3, 2009, págs. 303-321
• Idioma: inglés
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• Resumen

  • 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.