On the existence of solutions for a drift-diffusion system arising in corrosion modelling

Chainais-Hillairet, Claire; Lacroix-Violet, Ingrid

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.3934/dcdsb.2015.20.77

Titre :

On the existence of solutions for a drift-diffusion system arising in corrosion modelling

Auteur(s) :

Chainais-Hillairet, Claire [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Lacroix-Violet, Ingrid [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Titre de la revue :

Discrete and Continuous Dynamical Systems - Series B

Pagination :

77-92

Éditeur :

American Institute of Mathematical Sciences

Date de publication :

2015

ISSN :

1531-3492

Mot(s)-clé(s) en anglais :

Drift-di usion system
Robin boundary conditions
Existence of weak solutions
A priori estimates

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

In this paper, we consider a drift-diffusion system describing the corrosion of an iron based alloy in a nuclear waste repository. In comparison with the classical drift-diffusion system arising in the modeling of semiconductor ...
Lire la suite >In this paper, we consider a drift-diffusion system describing the corrosion of an iron based alloy in a nuclear waste repository. In comparison with the classical drift-diffusion system arising in the modeling of semiconductor devices, the originality of the corrosion model lies in the boundary conditions which are of Robin type and induce an additional coupling between the equations. We prove the existence of a weak solution by passing to the limit on a sequence of approximate solutions given by a semi-discretization in time.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :