We consider the convective Cahn-Hilliard equation with periodic boundary conditions. Based on the iteration technique for regularity estimates and the classical theorem on existence of a global attractor, we prove that the convective Cahn-Hilliard equation has a global attractor in .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-7, author = {Xiaopeng Zhao and Ning Duan}, title = {Global Attractor for the Convective Cahn-Hilliard Equation in $H^k$ }, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {59}, year = {2011}, pages = {53-64}, zbl = {1227.35086}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-7} }
Xiaopeng Zhao; Ning Duan. Global Attractor for the Convective Cahn-Hilliard Equation in $H^k$ . Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) pp. 53-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-1-7/