|
| Existence of Global Attractor for Weakly Damped FDS Nonlinear Wave Equations |
| Boling Guo,Ying Zhang |
| (Institute of Applied Physics and Computational Mathematics,
Beijing 100088, China) |
| DOI： |
| Abstract: |
| The paper investigates the well-posedness of global solutions and the
existence of global attractors for weakly damped FDS nonlinear wave equations.
It establishes the well-posedness of weak solutions using Galerkin approximation
and a priori estimate. Subsequently, a dynamical system is constructed based
on the well-posedness of the solution. The existence of a bounded absorbing
set for the equations and the smooth properties of the operator semigroup are
presented, leading to the existence of a global attractor. |
| Key words: Global attractors, a priori estimate, FDS nonlinear wave equations. |