Asymptotic analysis of rection-diffusion-electromigration systems - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Rapport (Rapport De Recherche) Année : 1993

Asymptotic analysis of rection-diffusion-electromigration systems

Résumé

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.

Domaines

Autre [cs.OH]
Fichier principal
Vignette du fichier
RR-2048.pdf (749.96 Ko) Télécharger le fichier

Dates et versions

inria-00074624 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00074624 , version 1

Citer

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

Partager

Gmail Facebook X LinkedIn More