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Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models - MaRDI portal

Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models (Q1661085)

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scientific article; zbMATH DE number 6919352
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English
Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models
scientific article; zbMATH DE number 6919352

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    Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models (English)
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    16 August 2018
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    The authors establish two new abstract criteria for the existence and stability of a family of pullback exponential attractors for nonautonomous discrete and continuous dynamical systems. They apply these criteria to Kirchhoff wave equations with supercritical nonlinearity and structural damping and construct a family of pullback exponential attractors thus proving their stability under perturbations.
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    pullback exponential attractor
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    stability
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    perturbation
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    nonautonomous Kirchhoff wave equations
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    structural damping
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    supercritical nonlinearity
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