Exponential decay for a viscoelastic problem with a singular kernel
From MaRDI portal
Publication:834575
DOI10.1007/S00033-008-8030-1zbMath1169.74013OpenAlexW1986321199MaRDI QIDQ834575
Publication date: 27 August 2009
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-008-8030-1
Integro-partial differential equations (45K05) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)
Related Items (34)
Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type ⋮ Stability of an axially moving viscoelastic beam ⋮ 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 ⋮ 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 ⋮ On a fractional reaction-diffusion equation ⋮ How to deal with nonlinear terms in the nondissipative case ⋮ General decay for a system of nonlinear viscoelastic wave equations with weak damping ⋮ A non-autonomous damped wave equation with a nonlinear memory term ⋮ Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement ⋮ On a perturbed kernel in viscoelasticity ⋮ Uniform decay in viscoelasticity for kernels with small non-decreasingness zones ⋮ A new class of kernels leading to an arbitrary decay in viscoelasticity ⋮ Polynomial stability without polynomial decay of the relaxation function ⋮ Boundary stabilization of a nonlinear viscoelastic equation with interior time-varying delay and nonlinear dissipative boundary feedback ⋮ On a non-dissipative Kirchhoff viscoelastic problem ⋮ Heat conduction with memory: a singular kernel problem ⋮ Asymptotic behavior for a nondissipative and nonlinear system of the Kirchhoff viscoelastic type ⋮ Asymptotic behavior for coupled abstract evolution equations with one infinite memory ⋮ Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam ⋮ Uniform decay for solutions of an axially moving viscoelastic beam ⋮ Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay ⋮ Global existence and energy decay of a nondissipative Cauchy viscoelastic problem ⋮ Unnamed Item ⋮ On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term ⋮ Singular kernel problems in materials with memory ⋮ How far can relaxation functions be increasing in viscoelastic problems? ⋮ On a large class of kernels yielding exponential stability in viscoelasticity ⋮ Well-posedness and stability results for some nonautonomous abstract linear hyperbolic equations with memory ⋮ Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density ⋮ Control of an axially moving viscoelastic Kirchhoff string ⋮ Arbitrary decays in linear viscoelasticity
This page was built for publication: Exponential decay for a viscoelastic problem with a singular kernel
