Exponential stability in linear viscoelasticity
From MaRDI portal
Publication:3429199
DOI10.1090/S0033-569X-06-01010-4zbMath1117.35052MaRDI QIDQ3429199
Publication date: 30 March 2007
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Linear constitutive equations for materials with memory (74D05) Abstract hyperbolic equations (35L90)
Related Items
Smooth dynamics of a Timoshenko system with hybrid dissipation, Exponential stability for a thermo-viscoelastic Timoshenko system with fading memory, Infinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert Spaces, Stability of an axially moving viscoelastic beam, Exponential decay of a first order linear Volterra equation, Oscillating kernels and arbitrary decays in viscoelasticity, Uniform stability of a laminated beam with structural memory, Mittag-Leffler stability for a fractional Euler-Bernoulli problem, DECAY RATES FOR SEMILINEAR VISCOELASTIC SYSTEMS IN WEIGHTED SPACES, On a decay rate for nonlinear extensible viscoelastic beams with history setting, Exponential stabilization of a structure with interfacial slip, Some well-posedness and general stability results in Timoshenko systems with infinite memory and distributed time delay, Compactness properties and general stability result for an abstract nonlinear viscoelastic equation, Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations, Convergence to equilibrium of solutions to a nonautonomous semilinear viscoelastic equation with finite or infinite memory, How to deal with nonlinear terms in the nondissipative case, Averaging of equations of viscoelasticity with singularly oscillating external forces, Attractors for wave equations with degenerate memory, Lack of superstable trajectories in linear viscoelasticity: a numerical approach, A new approach to the stability of an abstract system in the presence of infinite history, Control of a viscoelastic translational Euler-Bernoulli beam, On general decay for a nonlinear viscoelastic equation, Exponential characterization in linear viscoelasticity under delay perturbations, A new approach to abstract linear viscoelastic equation in Hilbert space, A new stability result for a flexible satellite system with viscoelastic damping, A general stability result for a viscoelastic von Karman equation, Stability and exponential stability in linear viscoelasticity, A general decay criterion for a viscoelastic equation with nonlinear distributed delay and damping effects, General decay for second-order abstract viscoelastic equation in Hilbert spaces with time delay, On a perturbed kernel in viscoelasticity, Uniform decay in viscoelasticity for kernels with small non-decreasingness zones, Arbitrary decay for a von Karman system with memory, Well-posedness and stability for an abstract evolution equation with history memory and time delay in Hilbert space, A new class of kernels leading to an arbitrary decay in viscoelasticity, Optimal control for evolution equations with memory, Shearing Viscoelasticity in Partially Dissipative Timoshenko–Boltzmann Systems, Long-time behavior of a class of viscoelastic plate equations, UNIFORM DECAY PROPERTIES OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS, Viscoelastic Timoshenko beams with occasionally constant relaxation functions, Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms, Polynomial stability without polynomial decay of the relaxation function, Exponential stabilization of the Timoshenko system by a thermal effect with an oscillating kernel, On a system of nonlinear wave equations with Balakrishnan-Taylor damping, On a non-dissipative Kirchhoff viscoelastic problem, APPROXIMATING INFINITE DELAY WITH FINITE DELAY, Decay rates of Volterra equations on \(\mathbb R^N\), Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms, Decay results for viscoelastic equations with coupled nonlinear boundary conditions, The Benjamin-Bona-Mahony equation with dissipative memory, Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity, Long-time behavior for a nonlinear plate equation with thermal memory, Exponential stability and blow up for a problem with Balakrishnan–Taylor damping, Arbitrary decay of solutions for a singular nonlocal viscoelastic problem with a possible damping term, Asymptotic behavior for a nondissipative and nonlinear system of the Kirchhoff viscoelastic type, Arbitrary decay rates of energy for a von Karman equation of memory type, Asymptotic behavior for coupled abstract evolution equations with one infinite memory, General stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions, Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam, Growth of solutions with positive initial energy to system of degeneratly damped wave equations with memory, Asymptotic stability of abstract dissipative systems with infinite memory, Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin–Pipkin’s model, Uniform decay for solutions of an axially moving viscoelastic beam, Stability results for second-order abstract viscoelastic equation in Hilbert spaces with time-varying delay, A new approach to equations with memory, General decay properties of abstract linear viscoelasticity, How far can relaxation functions be increasing in viscoelastic problems?, A Gronwall-type Lemma with parameter and dissipative estimates for PDEs, Exponential and polynomial decay for first order linear Volterra evolution equations, Attractors for semi-linear equations of viscoelasticity with very low dissipation, Existence of smooth global attractors for nonlinear viscoelastic equations with memory, 3-D viscous Cahn-Hilliard equation with memory, Unilateral dynamic contact of two viscoelastic beams, Stability of global and exponential attractors for a three‐dimensional conserved phase‐field system with memory, On a large class of kernels yielding exponential stability in viscoelasticity, On the decay of solutions in nonsimple elastic solids with memory, ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY, Thermoelasticity with antidissipation, Stabilization of a nonlinear Euler-Bernoulli beam, Control of an axially moving viscoelastic Kirchhoff string, Arbitrary decays in linear viscoelasticity, BOUNDARY CONTROL AND STABILIZATION OF AN AXIALLY MOVING VISCOELASTIC STRING UNDER A BOUNDARY DISTURBANCE, Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions, Some unexplored questions arising in linear viscoelasticity, On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weakly dissipative semilinear equations of viscoelasticity
- Semigroups of linear operators and applications to partial differential equations
- On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
- Extending a theorem of A. M. Liapunov to Hilbert space
- Asymptotic stability in viscoelasticity
- On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations
- On the stability for linear viscoelastic solids
- Asymptotic Decay for Some Differential Systems with Fading Memory
- On the exponential stability of linear viscoelasticity and thermoviscoelasticity
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
