Structure of the Attractor of the Cahn-hilliard equation on a Square

@article{MaierPaape2007StructureOT,
  title={Structure of the Attractor of the Cahn-hilliard equation on a Square},
  author={Stanislaus Maier-Paape and Konstantin Mischaikow and Thomas Wanner},
  journal={I. J. Bifurcation and Chaos},
  year={2007},
  volume={17},
  pages={1221-1263}
}
We describe the fine structure of the global attractor of the Cahn–Hilliard equation on twodimensional square domains. This is accomplished by combining recent numerical results on the set of equilibrium solutions due to [Maier-Paape & Miller, 2002] with algebraic Conley index techniques. Using the information on the set of equilibria as assumption, we build Morse decompositions and connection matrices. The latter imply existence of heteroclinic connections between the equilibria inside the… CONTINUE READING
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