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

S. Yayla

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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.