Longtime behavior of nonlocal Cahn-Hilliard equations
Longtime behavior of nonlocal Cahn-Hilliard equations
Here we consider the nonlocal Cahn-Hilliard equation with constant mobilityin a bounded domain. We prove that the associated dynamical system has anexponential attractor, provided that the potential is regular. In order todo that a crucial step is showing the eventual boundedness of the orderparameter uniformly with respect to the initial …