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

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 H 4 (Ω) when the initial value belongs to H 1 (Ω).

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Published in:Indian journal of pure and applied mathematics 2019-03, Vol.50 (1), p.239-252
Main Authors: Duan, Ning, Xu, Xianyun
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Language:English
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Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
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description 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 H 4 (Ω) when the initial value belongs to H 1 (Ω).
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
title On the Global Attractor of Modified Swift-Hohenberg Equation in 3D Case
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