Global dynamics of a fourth-order parabolic equation describing crystal surface growth

In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).

Bibliographic Details
Main Authors: Ning Duan, Xianyun Xu
Format: Article
Language:English
Published: Vilnius University Press 2019-02-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12890
Description
Summary:In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).
ISSN:1392-5113
2335-8963