Global dynamics of a fourth-order parabolic equation describing crystal surface growth
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Articles
Ning Duan
Jiangnan University
Xianyun Xu
Jiangnan University
Published 2019-02-01
https://doi.org/10.15388/NA.2019.2.1
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Keywords

global dynamics
fourth-order parabolic equation
absorbing set

How to Cite

Duan, N. and Xu, X. (2019) “Global dynamics of a fourth-order parabolic equation describing crystal surface growth”, Nonlinear Analysis: Modelling and Control, 24(2), pp. 159–175. doi:10.15388/NA.2019.2.1.

Abstract

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).

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