Global attractors for the semilinear beam equation with localized viscosity

Authors : Sema YAYLA

Pages : 2588-2606

View : 14 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

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}\leftinsert ignore into journalissuearticles values( 0,1\right); \times H_{0}^{1}\leftinsert ignore into journalissuearticles values( 0,1\right); $.
Keywords : Beam equation, Boussinesq equation, Cahn Hilliard equation, hyperbolic relaxation, global attractor