This paper is concerned with a fourth-order parabolic equation which models epitaxial growth of nanoscale thin films. Based on the regularity estimates for semigroups and the classical existence theorem of global attractors, we prove that the fourth order parabolic equation possesses a global attractor in a subspace of H², which attracts all the bounded sets of H² in the H²-norm.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-6,
author = {Ning Duan and Xiaopeng Zhao},
title = {Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {60},
year = {2012},
pages = {259-268},
zbl = {1250.35039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-6}
}
Ning Duan; Xiaopeng Zhao. Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 259-268. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-6/