General decay estimate of energy for the second order evolution equations with memory
From MaRDI portal
Publication:973824
DOI10.1007/s10440-008-9397-xzbMath1194.35060OpenAlexW1968239433MaRDI QIDQ973824
Publication date: 26 May 2010
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9397-x
Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Abstract hyperbolic equations (35L90) Integro-partial differential equations (35R09)
Related Items
The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term, Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity, Global nonexistence of solutions for a class of viscoelastic Lamé system, Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy, Energy decay for viscoelastic plates with distributed delay and source term, On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation, Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics, Memory-type plate system with nonlinear delay, Energy decay rates via convexity for some second-order evolution equation with memory and nonlinear time-dependent dissipation, Viscoelasticity versus nonlinear feedback in plate systems: optimal decay, Energy decay of dissipative plate equations with memory-type boundary conditions, Global existence and general decay of Moore–Gibson–Thompson equation with not necessarily decreasing kernel, A study on non-autonomous second order evolution equations with nonlocal conditions, Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory, Decay rates for memory-type plate system with delay and source term, Moore-Gibson-Thompson equation with memory. II: General decay of energy., Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term, Viscoelastic plate equation with boundary feedback, On behaviour of solutions for a nonlinear viscoelastic equation with variable-exponent nonlinearities, Plate equations with viscoelastic boundary damping, A new general decay result for abstract evolution equation with time-dependent nonlinear dissipation, Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity, Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations, Nonlocal integrated solutions for a class of abstract evolution equations, Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement, New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity, Plate equations with frictional and viscoelastic dampings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General decay of the solution energy in a viscoelastic equation with a nonlinear source
- Semigroups of linear operators and applications to partial differential equations
- Viscoelastic relaxation functions compatible with thermodynamics
- Decay rates for viscoelastic plates with memory
- Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
- Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels
- General decay rate estimates for viscoelastic dissipative systems
- Decay estimates for second order evolution equations with memory
- General decay of solutions of a viscoelastic equation
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- Asymptotic behaviour of the energy in partially viscoelastic materials