Global attractors for the semilinear beam equation with localized viscosity
TURKISH JOURNAL OF MATHEMATICS, vol.42, no.5, pp.2588-2606, 2018 (SCI-Expanded, Scopus, TRDizin)
- 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).