Global attractors for the semilinear beam equation with localized viscosity

YAYLA S.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.5, pp.2588-2606, 2018 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1710-12
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2588-2606
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, we deal with the semilinear beam equation with localized viscosity. Under mild conditions on the viscous coefficient, we establish the well-posedness and boundedness of the weak solutions. Then we prove that the semigroup generated by this problem has a smooth global attractor in H-3 (0, 1) x H-0(1) (0,1).