GLOBAL ATTRACTOR OF THE HYPERBOLIC RELAXATION OF THE SWIFT-HOHENBERG EQUATION IN R-n

Yayla S.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.10, no.1, pp.161-172, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2020
  • Journal Name: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.161-172
  • Hacettepe University Affiliated: Yes

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 H-2 (R-n) x L-2 (R-n) is proved. Also, the smoothness and the finite dimensionality of the global attractor are established.