@Article{AAM-40-333,
author = {Guo , Boling and Zhang , Ying},
title = {Existence of Global Attractor for Weakly Damped FDS Nonlinear Wave Equations},
journal = {Annals of Applied Mathematics},
year = {2025},
volume = {40},
number = {4},
pages = {333--346},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2024-0009},
url = {http://global-sci.org/intro/article_detail/aam/23775.html}
}