Our aim in this article is to study the long time behavior, in terms of finite-dimensional attractors, of doubly nonlinear Cahn-Hilliard type equations. In particular, we prove the existence of an exponential attractor. We also study the continuity of exponential attractors when the equations converge to the usual Cahn-Hilliard equation.
"Doubly nonlinear Cahn-Hilliard-Gurtin equations." Hokkaido Math. J. 38 (2) 315 - 360, May 2009. https://doi.org/10.14492/hokmj/1248190081