Open AccessGlobal dynamics of a fourth-order parabolic equation describing crystal surface growth
Author(s) -
Ning Duan,
Xianyun Xu
Publication year - 2019
Publication title -
nonlinear analysis modelling and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.734
H-Index - 32
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/na.2019.2.1
Subject(s) - attractor , dynamics (music) , surface (topology) , parabolic partial differential equation , mathematical analysis , mathematics , order (exchange) , physics , partial differential equation , geometry , finance , acoustics , economics
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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