Pullback dynamics of Lamé systems with time-dependent weak damping

Gomes Tavares, E.H.; Freitas, M.M.; Ma, T.F.; Ramos, A.J.A.; Santos, M.J. Dos

doi:10.1016/j.nonrwa.2023.103982

Nonlinear Analysis: Real World Applications

2024

DOI: 10.1016/j.nonrwa.2023.103982

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Pullback dynamics of Lamé systems with time-dependent weak damping

E.H. Gomes Tavares,

M.M. Freitas,

T.F. Ma

et al.

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2024

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“…The dynamics of systems of the form (1) have been studied by many authors, see for instance [5,11,29,36] and the references therein. Recently, the existence of attractors for Lamé systems were investigated in [3,6,7,17,19,28,40].…”

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confidence: 99%

Dynamics of a nonlinear Lamé lattice system with nonlinear damping

Pereira

2024

DCDS-B

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We investigate the dynamics of a nonlinear Lamé lattice system with nonlinear damping. Under certain conditions on the nonlinear terms, we prove the global well-posedness of the initial value problem in a suitable space and the existence of a global attractor for the associated semigroup. Moreover, we study the upper semicontinuity of attractors when the sum of the Lamé constants in the discrete elasticity operator tends to zero.

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confidence: 99%

Dynamics of a nonlinear Lamé lattice system with nonlinear damping

Pereira

2024

DCDS-B

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Smooth Dynamics of Singularly Perturbed Lamé Systems: Quasi-Stability and Continuity of Global Attractors

Araújo,

Bezerra,

Costa

et al. 2024

Differ Equ Dyn Syst

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Pullback dynamics of Lamé systems with time-dependent weak damping

Cited by 2 publications

References 25 publications

Dynamics of a nonlinear Lamé lattice system with nonlinear damping

Dynamics of a nonlinear Lamé lattice system with nonlinear damping

Smooth Dynamics of Singularly Perturbed Lamé Systems: Quasi-Stability and Continuity of Global Attractors

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