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