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

Yayla S.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.1, ss.161-172, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.161-172
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.