| Abstract: |
| This presentation examines a Cahn-Hilliard model incorporating chemical reactions that facilitate active droplet formation while suppressing Ostwald ripening. We establish the model`s well-posedness and connect the diffuse interface model to a sharp interface model of Mullins-Sekerka type using matched asymptotic expansions. Our stability analysis demonstrates the coexistence of stable and unstable stationary solutions under specific conditions. Additionally, we utilize finite element computations to validate our results and illustrate various splitting scenarios. |
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