Title of article :
GLOBAL ATTRACTOR OF THE HYPERBOLIC RELAXATION OF THE SWIFT-HOHENBERG EQUATION IN R n
Author/Authors :
YAYLA, S Department of Mathematics - Faculty of Science - Hacettepe University - Beytepe - Ankara, Turkey
Abstract :
In this paper, the hyperbolic modification of the Swift-Hohenberg equation
in R
n
is dealt with. The existence of the global attractor in H2
(R
n
)×L
2
(R
n
) is proved.
Also, the smoothness and the finite dimensionality of the global attractor are established.
Keywords :
Modified Swift-Hohenberg equation , global attractor , pattern formation
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
