Existence of Solutions to a Corrosion Model
نویسنده
چکیده
In this paper, we consider a corrosion model of iron based alloy in nuclear waste repository. It consists in a PDE system, similar to the steady-state drift-diffusion system arising in semiconductors modelling. The main difference lies in the boundary conditions since they are Robin boundary conditions and infer an additional coupling between the equations. Using a priori estimates on the solution and Schauder’s fixed point theorem, we show the existence of solutions to the corrosion model.
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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 driftdiffusion 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 ...
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