- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- Global attractors for the semilinear beam equation with localized viscosity
Global attractors for the semilinear beam equation with localized viscosity
Authors : Sema Yayla
Pages : 2588-2606
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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}\left( 0,1\right) \times H_{0}^{1}\left( 0,1\right) $.Keywords : Beam equation, Boussinesq equation, Cahn-Hilliard equation, hyperbolic relaxation, global attractor