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Asymptotic analysis of rection-diffusion-electromigration systems

Abstract : We consider a Nernst-Planck-Poisson system modelling ion migration through biological membranes, in the one dimensional case. The model includes both the effects of biochemical reaction between ions and of fixed charges. We state the existence of solutions under either an imposed potential condition or an imposed current condition. We study the asymptotical behaviour of solutions in the limit of electroneutrality. Non uniform convergence gives rise to jump in the potential, known as Donnan potential. Finally we give correctors which describe the charged boundary layers.
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https://hal.inria.fr/inria-00074624
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 3:55:56 PM
Last modification on : Thursday, February 11, 2021 - 2:50:06 PM
Long-term archiving on: : Tuesday, April 12, 2011 - 5:51:07 PM

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  • HAL Id : inria-00074624, version 1

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Jacques Henry, Bento Louro. Asymptotic analysis of rection-diffusion-electromigration systems. [Research Report] RR-2048, INRIA. 1993. ⟨inria-00074624⟩

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