Author(s)

Yonghua Ren, Jianwen Zhang

Department of Mathematic Taiyuan University of Technology Taiyuan, China.

This work studies the global attractor for the process generated by a non-autonomous beam equation u_tt+△²u+ηu_t-[β(t)+M(∫_Ω|▽u(x,t)|²dx)] △u+g(u, t)=f (x,t) Based on a time-uniform priori estimate method, we first in the space H₀²(Ω) ×L²(Ω) establish a time-uniform priori estimate of the solution u to the equation, and conclude the existence of bounded absorbing set. When the external term f (x,t) is time-periodic, the continuous semigroup of solution is proved to possess a global attractor.

Global Attractor; Non-Autonomous Beam Equation; Absorbing Set

Y. Ren and J. Zhang, "Global Attractor for a Non-Autonomous Beam Equation," Advances in Pure Mathematics, Vol. 2 No. 5, 2012, pp. 358-362. doi: 10.4236/apm.2012.25052.