| Abstract: |
| The nonlocal Cahn-Hilliard equation is a conserved gradient flow generated by a Helmholtz free energy functional. This functional is given by a nonlocal and nonconvex bulk energy minus the total entropy, that is, a logarithmic function of the order parameter. The resulting equation is a second-order nonlocal and nonlinear evolution equation. We present some recent results on this equation when the mobility is either constant or degenerate. |
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