Mathematical analysis for a model of nickel-iron alloy electrodeposition on rotating disk electrode : parabolic case.

Noureddine Alaa 1 I. Fatmi 2 Jean Rodolphe Roche 3, 4 A. Tounsi 2
4 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : To better understand the nickel-iron electrodeposition process, we are interested in the one-dimensional model. This model addresses dissociation, diffusion, electromigration, convection and deposition of multiple ion species. We study the global existence of solutions that are here different ion concentrations in the mixture as well as the electric potential. The non regularity of data imposes us to introduce the notion of weak solution adapted for our model. The classic techniques, based on the C estimations, to prove the existence and the positivity of solutions fall in defect and news techniques must be developed. We present them here and we obtain global existence and positivity of weak solution for our model without no restriction of growth on the non linear terms
Type de document :
Article dans une revue
International Journal of Mathematics and Statistics, Hindawi Publishing Corporation, 2008, 2 (S08), pp.30-48
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https://hal.inria.fr/inria-00589754
Contributeur : Jean Rodolphe Roche <>
Soumis le : dimanche 1 mai 2011 - 19:01:24
Dernière modification le : lundi 24 septembre 2018 - 17:34:18

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  • HAL Id : inria-00589754, version 1

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Noureddine Alaa, I. Fatmi, Jean Rodolphe Roche, A. Tounsi. Mathematical analysis for a model of nickel-iron alloy electrodeposition on rotating disk electrode : parabolic case.. International Journal of Mathematics and Statistics, Hindawi Publishing Corporation, 2008, 2 (S08), pp.30-48. 〈inria-00589754〉

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