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Existence of Global Attractor for Weakly Damped FDS Nonlinear Wave Equations

Existence of Global Attractor for Weakly Damped FDS Nonlinear Wave Equations

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.

Author Details

Boling Guo

Ying Zhang