| Abstract: |
| In this talk, we will discuss some recent results on the 2D Cahn-Hilliard equation with nondegenerate concentration-dependent mobility and logarithmic potential. More precisely, we proved that any weak solution is unique, exhibits propagation of uniform-in-time regularity, and stabilizes towards an equilibrium state of the Ginzburg-Landau free energy for large times. These results improve the state of the art dating back to a work by Barrett and Blowey and were obtained in a joint work with Monica Conti, Pietro Galimberti and Andrea Giorgini. |
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