Global attractors for a nonlinear viscoelastic equations with strong damping velocity-dependent material density

Abstract In this paper, we study the long-time behavior of the semigroup  S ( t ) $S(t)$  generated by a nonlinear viscoelastic equation with strong damping in a bounded domain Ω of  R N $\mathbb{R}^{N}$ . We prove the well-posedness and the existence of the global attractor associated to this probl...

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Bibliographic Details
Main Author: Suli Zhang
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-025-02002-0
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Summary:Abstract In this paper, we study the long-time behavior of the semigroup  S ( t ) $S(t)$  generated by a nonlinear viscoelastic equation with strong damping in a bounded domain Ω of  R N $\mathbb{R}^{N}$ . We prove the well-posedness and the existence of the global attractor associated to this problem.
ISSN:1687-2770