Uniform attractor of non-autonomous wave equations with acoustic boundary condition

This paper is concerned with the study of wave equations with acoustic boundary conditions subject to a non-autonomous external force and nonlinearity type |u|3. We employ the contractive function and the uniform dissipativity of the system to establish the uniform asymptotic compactness and existence of a uniform attractor.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2025-04-01
DOI
https://doi.org/10.1063/5.0202589
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Uniform attractor of non-autonomous wave equations with acoustic boundary condition

Thales Maier Souza, César Augusto Bortot
Journal of Mathematical Physics
Stability and Controllability of Differential Equations
article

Uniform attractor of non-autonomous wave equations with acoustic boundary condition

Thales Maier Souza, César Augusto Bortot
article en

Abstract

This paper is concerned with the study of wave equations with acoustic boundary conditions subject to a non-autonomous external force and nonlinearity type |u|3. We employ the contractive function and the uniform dissipativity of the system to establish the uniform asymptotic compactness and existence of a uniform attractor.

Journal of Mathematical PhysicsVol. 66(4)
Openalex Percentile: Top 93%
Stability and Controllability of Differential Equations
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Uniform attractor of non-autonomous wave equations with acoustic boundary condition — Thales Maier Souza, César Augusto Bortot · Journal of Mathematical Physics (2025) | TGRS Research Map | TGRS