| Abstract: |
| Optimizing electrolyser cells for green hydrogen production requires a precise understanding of their internal electrochemical processes. We model these dynamics using a coupled system of quasi-linear elliptic PDEs and investigate the inverse problem of reconstructing non-linear diffusion coefficients and electric potential relations.
In this talk, I will show that boundary measurements alone are insufficient for unique reconstruction. By generalizing a known linearization technique to systems with non-local nonlinearities, we prove that combining boundary and interior measurements resolves this issue. I will outline the mathematical framework and explain why interior data is the essential key to freezing the coefficients and successfully solving the inverse problem. |
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