| Abstract: |
| We investigate a perturbation of the Cahn-Hilliard equation with non-degenerate mobility and nonlinear terms of logarithmic type. This new model is based on an unconstrained theory recently proposed by F.P. Duda, A.F. Sarmiento and E. Fried. We prove the existence, regularity and uniqueness of weak and strong solutions, as well as separation properties from the pure states, also in three space dimensions. Besides, we prove the convergence to the Cahn-Hilliard equation as the perturbation parameter goes to zero. |
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