| Abstract: |
| Steel corrosion plays a central role in different technological fields. We will consider a simple case of a corrosion phenomenon which describes a pure iron dissolution in sodium chloride. We will prove that under rather general hypotheses on the initial data, the solution of this iron dissolution model converges to a self similar profile for large times. We will do so for an equivalent formulation which takes the form of a one dimensional one phase Stefan problem. In order to prove the convergence result, we apply a comparison principle together with suitable upper and lower solutions. |
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