Global attractors for the semilinear beam equation with localized viscosity

YAYLA S.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.5, ss.2588-2606, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1710-12
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2588-2606
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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).