Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth

Ning Duan, and Xiaopeng Zhao. "Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth." Bulletin of the Polish Academy of Sciences. Mathematics 60.3 (2012): 259-268. <http://eudml.org/doc/281329>.

@article{NingDuan2012,
abstract = {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.},
author = {Ning Duan, Xiaopeng Zhao},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {absorbing set},
language = {eng},
number = {3},
pages = {259-268},
title = {Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth},
url = {http://eudml.org/doc/281329},
volume = {60},
year = {2012},
}

TY - JOUR
AU - Ning Duan
AU - Xiaopeng Zhao
TI - Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 3
SP - 259
EP - 268
AB - 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.
LA - eng
KW - absorbing set
UR - http://eudml.org/doc/281329
ER -