Global Attractor Of The Cauchy Problem For A Class Of Nonlinear Fourth Order Wave Equation

This paper studies the longtime behavior of solutions to the following nonlinear firth-order wave equation arising in elastic waveguide modelIn this paper ,We establish the existence of the global attactor of the infinite dynamical system corresponding to the above-mentioned Cauchy problem in the phase spaceX_2+δ(0＜δ≤1)for the case of space dimension N≤3. At last, some examples are given.