Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 1

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

Sema YAYLA

Sayfa
161–172
DOI
—

Özet

In this paper, the hyperbolic modification of the Swift-Hohenberg equationinRnis dealt with. The existence of the global attractor inH2(Rn)×L2(Rn) is proved.Also, the smoothness and the finite dimensionality of the global attractor are established.

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