Upper semicontinuity of the global attractor for Bresse system with second sound

Freitas, M. M.; Ramos, A. J. A.; Aouadi, Moncef; Júnior, D. S. Almeida

doi:10.1080/14689367.2023.2182182

Dynamical Systems

2023

DOI: 10.1080/14689367.2023.2182182

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Upper semicontinuity of the global attractor for Bresse system with second sound

M. M. Freitas

A. J. A. Ramos

Moncef Aouadi

et al.

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2024

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Attractors of a thermoelastic Bresse system with mass diffusion

Li,

Cabanillas,

Feng

2024

Z Angew Math Mech

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This paper concerns the long‐time dynamics of a thermoelastic Bresse system with mass diffusion. We prove the existence of a global attractor by showing that the system is gradient and asymptotically smooth. In addition, the attractor is characterized as an unstable manifold of the set of stationary solutions. The quasi‐stability of the system and the finite fractal dimension of the global attractor are established by a stabilizability inequality. Finally, we prove the upper semicontinuity of the global attractor regarding the parameter in a dense residual set.

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Attractors of a thermoelastic Bresse system with mass diffusion

Li,

Cabanillas,

Feng

2024

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

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Upper semicontinuity of the global attractor for Bresse system with second sound

Cited by 1 publication

References 22 publications

Attractors of a thermoelastic Bresse system with mass diffusion

Attractors of a thermoelastic Bresse system with mass diffusion

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