Convergence to steady states of solutions of the Cahn–Hilliard and Caginalp equations with dynamic boundary conditions

We consider a solution of the Cahn–Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as t ∞, to a stationary solution. The main tool will be the Łojasiewicz–Simon inequality for the underlying energy functional. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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