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).

Keywords

• global dynamics
• fourth-order parabolic equation
• absorbing set