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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 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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Summary: | 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). |
---|---|
ISSN: | 0019-5588 0975-7465 |
DOI: | 10.1007/s13226-019-0321-z |