| Abstract: |
| We study a generalized Cahn--Hilliard equation, based on an unconstrained theory proposed by Duda, Sarmiento and Fried in 2021, with non-degenerate mobility and nonlinear terms of logarithmic type. We prove well posedness of weak solutions, propagation of regularity and a type of separation from the pure states property for weak solutions, also in three space dimensions. Moreover, given that this model can be interpreted as a perturbation of the classical Cahn-Hilliard, we prove convergence of weak solutions to weak solutions of the Cahn-Hilliard equation on finite time intervals. |
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