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.