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:	global dynamics fourth-order parabolic equation absorbing set
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12890

id	doaj-96c88e41aab84ef6ad3d3d2589647543
record_format	Article
spelling	doaj-96c88e41aab84ef6ad3d3d25896475432020-11-24T21:56:05ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-02-0124210.15388/NA.2019.2.1Global dynamics of a fourth-order parabolic equation describing crystal surface growthNing Duan0Xianyun Xu1Jiangnan UniversityJiangnan UniversityIn 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). http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12890global dynamicsfourth-order parabolic equationabsorbing set
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ning Duan Xianyun Xu
spellingShingle	Ning Duan Xianyun Xu Global dynamics of a fourth-order parabolic equation describing crystal surface growth Nonlinear Analysis global dynamics fourth-order parabolic equation absorbing set
author_facet	Ning Duan Xianyun Xu
author_sort	Ning Duan
title	Global dynamics of a fourth-order parabolic equation describing crystal surface growth
title_short	Global dynamics of a fourth-order parabolic equation describing crystal surface growth
title_full	Global dynamics of a fourth-order parabolic equation describing crystal surface growth
title_fullStr	Global dynamics of a fourth-order parabolic equation describing crystal surface growth
title_full_unstemmed	Global dynamics of a fourth-order parabolic equation describing crystal surface growth
title_sort	global dynamics of a fourth-order parabolic equation describing crystal surface growth
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2019-02-01
description	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).
topic	global dynamics fourth-order parabolic equation absorbing set
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12890
work_keys_str_mv	AT ningduan globaldynamicsofafourthorderparabolicequationdescribingcrystalsurfacegrowth AT xianyunxu globaldynamicsofafourthorderparabolicequationdescribingcrystalsurfacegrowth
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Global dynamics of a fourth-order parabolic equation describing crystal surface growth

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