GLOBAL ATTRACTOR OF THE HYPERBOLIC RELAXATION OF THE SWIFT-HOHENBERG EQUATION IN Rn

Abstract

In this paper, the hyperbolic modication of the Swift-Hohenberg equation in Rn is dealt with. The existence of the global attractor in H2 Rn L2 Rn is proved. Also, the smoothness and the nite dimensionality of the global attractor are established.

Keywords

• Modied Swift-Hohenberg equation,global attractor,pattern formation.

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