Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation

Claire Chainais-Hillairet 1, 2 Thomas Gallouët 3, 4
1 RAPSODI - Reliable numerical approximations of dissipative systems
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
4 MEPHYSTO - Quantitative methods for stochastic models in physics
Inria Lille - Nord Europe, ULB - Université Libre de Bruxelles [Bruxelles], LPP - Laboratoire Paul Painlevé - UMR 8524
Abstract : In this paper, we consider a system of partial differential equations describing the pseudo-stationary state of a dense oxide layer. We investigate the question of existence of a solution to the system and we design a numerical scheme for its approximation. Numerical experiments with real-life data shows the efficiency of the method. Then, the analysis is fulfilled on some simplified models.
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Claire Chainais-Hillairet, Thomas Gallouët. Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation. Nonlinear Analysis: Real World Applications, Elsevier, 2016. ⟨hal-01147621⟩

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