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

Chainais-Hillairet, Claire; Lacroix-Violet, Ingrid

Document type :

Article dans une revue scientifique: Article original

DOI :

10.3934/dcdsb.2015.20.77

Title :

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

Author(s) :

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

Journal title :

Discrete and Continuous Dynamical Systems - Series B

Pages :

77-92

Publisher :

American Institute of Mathematical Sciences

Publication date :

2015

ISSN :

1531-3492

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :