Turkish Journal of Mathematics
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) $.
DOI
10.3906/mat-1710-12
Keywords
Beam equation, Boussinesq equation, Cahn-Hilliard equation, hyperbolic relaxation, global attractor
First Page
2588
Last Page
2606
Recommended Citation
YAYLA, S (2018). Global attractors for the semilinear beam equationwith localized viscosity. Turkish Journal of Mathematics 42 (5): 2588-2606. https://doi.org/10.3906/mat-1710-12
