| Abstract: |
| There has been recently an important interest in deriving rigorously the Cahn-Hilliard equation from the nonlocal equation. Since we are motivated by models for the biomechanics of living tissues, it is useful to include degenerate motilities. In this framework, we present a method to show the convergence of the nonlocal to the local degenerate Cahn-Hilliard equation. The method includes the use of nonlocal Poincare and compactness inequalities. |
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