| This paper is concerned with the long-time dynamics of a non-autonomous wave equation with time-dependent damping,defined in a bounded domain Ω(?) R~3 with smooth boundary,the nonlinear term f(u)has a critical growth exponent.Under the hypothesis for the damped coefficient β(t)which owns positive lower bound,we establish the existence of a pullback D_α-attractor for the process Φ(·,·)generated by the solution of(1.1).A contractive function method has been used to deal with the difficulty generated by the critical nonlinearity,which verifies the pullback D_α-asymptotical compactness for Φ(·,·). |
