On the Global Attractor of Modified Swift-Hohenberg Equation in 3D Case

Ning Duan () and Xianyun Xu ()
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Ning Duan: Jiangnan University
Xianyun Xu: Jiangnan University

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 239-252

Abstract: Abstract In this paper, we study the global dynamic for the solution semiflow of the modified Swift- Hohenberg equation in 3D case. We show that the equation has a global attractor in H4(Ω) when the initial value belongs to H1(Ω).

Keywords: Global attractor; modified Swift-Hohenberg equation; absorbing set (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0321-z

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