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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Bibliographische Detailangaben
Veröffentlicht in:	Indian journal of pure and applied mathematics 2019-03, Vol.50 (1), p.239-252
Hauptverfasser:	Duan, Ning, Xu, Xianyun
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics Numerical Analysis
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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