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September 10, 2025Mathematics and Mechanics of Solids

Observability and global attractors for viscoelastic equation with degenerate memory

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Existence of global attractors with finite fractal dimensions is established through observability inequalities.
Observability inequalities influence the solutions' dynamics, emphasizing the nonlinear viscoelastic equation's relevance.
The study introduces a degenerate case through complementary frictional damping and analyzes its impact on the system.
Absorbing sets are proven without geometric control conditions for dissipation functions a and b.

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Implication

Analysis demonstrates global attractors from observability inequalities in viscoelastic dynamics, suggesting implications for storage and dissipation.

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Moncef Aouadi (2025) studied this question.

synapsesocial.com/papers/68c1b35954b1d3bfb60ea35a https://doi.org/10.1177/10812865251348438

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Implication

Analysis demonstrates global attractors from observability inequalities in viscoelastic dynamics, suggesting implications for storage and dissipation.

Observability and global attractors for viscoelastic equation with degenerate memory

Key Points

Discussion

Implication

Cite This Study

Observability and global attractors for viscoelastic equation with degenerate memory

Key Points

Discussion

Implication

Cite This Study

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