Exponential attractor for the viscoelastic wave model with time-dependent memory kernels

DOI10.1007/s10884-021-10035-zzbMath1527.37083arXiv2104.13606OpenAlexW3181733571WikidataQ115383074 ScholiaQ115383074MaRDI QIDQ6095777

Ya-Nan Li, Zhijian Yang

Publication date: 8 September 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13606

zbMATH Keywords

longtime behavior of solutionsexponential attractorsviscoelastic wave modeltime-dependent memory kerneltime-dependent phase spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Second-order hyperbolic equations (35L10)

Related Items (2)

Pullback exponential attractors for second-order lattice system with nonstandard growth condition ⋮ Upper semicontinuity of pullback D$\mathcal {D}$‐attractors for nonlinear parabolic equation with nonstandard growth condition

Cites Work

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• Exponential attractors for abstract equations with memory and applications to viscoelasticity
• A minimal approach to the theory of global attractors
• Dynamics of quasi-stable dissipative systems
• Time-dependent attractor for the oscillon equation
• Compact sets in the space \(L^ p(0,T;B)\)
• Attractors for certain nonlinear problems of mathematical physics
• On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
• Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models
• Attractors for second-order evolution equations with a nonlinear damping
• Attractors for processes on time-dependent spaces. Applications to wave equations
• Asymptotic stability in viscoelasticity
• Long-term analysis of strongly damped nonlinear wave equations
• Long-time behavior of second order evolution equations with nonlinear damping
• On the stability for linear viscoelastic solids
• Exponential attractors for a nonlinear reaction-diffusion system in
• A model of viscoelasticity with time-dependent memory kernels
• Viscoelasticity with time-dependent memory kernels, II: asymptotic behavior of solutions
• On the exponential stability of linear viscoelasticity and thermoviscoelasticity
• Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems

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