Existence of smooth global attractors for nonlinear viscoelastic equations with memory
type: Item
instance of: scholarly article
title: Existence of smooth global attractors for nonlinear viscoelastic equations with memory
zbMATH Open document ID: 1327.35040
author: Monica Conti
author: Pelin G. Geredeli
published in: Journal of Evolution Equations
publication date: 2015-10-20T00:00:00Z
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6496635
zbMATH Keywords: viscoelastic plate
zbMATH Keywords: nonlinear damping
zbMATH Keywords: hereditary memory
zbMATH Keywords: Euler-Bernoulli plate equation
zbMATH Keywords: nonlinear source term
zbMATH Keywords: internal frictional damping
MaRDI profile type: Publication
full work available at URL: s00028-014-0270-2
OpenAlex ID: W2092327810
cites work: Q5665783
cites work: Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
cites work: Attractors for equations of mathematical physics
cites work: ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
cites work: Long-time behavior of second order evolution equations with nonlinear damping
cites work: Von Karman Evolution Equations
cites work: UNIFORM DECAY PROPERTIES OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
cites work: Wave equations with memory: the minimal state approach
cites work: Semilinear wave equations of viscoelasticity in the minimal state framework
cites work: Singular limit of differential systems with memory
cites work: An abstract Volterra equation with applications to linear viscoelasticity
cites work: A new approach to equations with memory
cites work: Smooth attractors of finite dimension for von Kármán evolutions with nonlinear frictional damping localized in a boundary layer
cites work: Decay rates to equilibrium for nonlinear plate equations with degenerate, geometrically-constrained damping
cites work: On the extensible viscoelastic beam
cites work: Q4407520
cites work: A priori estimates for flows in dissipative materials
cites work: Q4039920
cites work: Asymptotic behavior with respect to thickness of boundary stabilizing feedback for the Kirchhoff plate
cites work: Remark on the regularity of the global attractor for the wave equation with nonlinear damping
cites work: Q3995611
cites work: Decay rates for viscoelastic plates with memory
cites work: Exponential stability in linear viscoelasticity
cites work: Stability and exponential stability in linear viscoelasticity
cites work: Exponential stability in linear viscoelasticity with almost flat memory kernels
cites work: Q4546009
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q4332942
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
DOI: 10.1007/S00028-014-0270-2
description: scientific article; zbMATH DE number 6496635