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, SEMA
(2018)
"Global attractors for the semilinear beam equationwith localized viscosity,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 37.
https://doi.org/10.3906/mat-1710-12
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/37
