Year: 2024
Author: Boling Guo, Ying Zhang
Annals of Applied Mathematics, Vol. 40 (2024), Iss. 4 : pp. 333–346
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2024-0009
Annals of Applied Mathematics, Vol. 40 (2024), Iss. 4 : pp. 333–346
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Global attractors a priori estimate FDS nonlinear wave equations.