Exponential stability for the wave equations with local Kelvin-Voigt damping
From MaRDI portal
Publication:2491941
DOI10.1007/s00033-005-0029-2zbMath1114.35023OpenAlexW1997185737MaRDI QIDQ2491941
Publication date: 30 May 2006
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-005-0029-2
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Second-order nonlinear hyperbolic equations (35L70)
Related Items (45)
Polynomial stability of an abstract system with local damping ⋮ A transmission problem of a system of weakly coupled wave equations with Kelvin-Voigt dampings and non-smooth coefficient at the interface ⋮ Stability of a String with Local Kelvin--Voigt Damping and Nonsmooth Coefficient at Interface ⋮ Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback ⋮ Uniform stabilization for a strongly coupled semilinear/linear system ⋮ Stability results of locally coupled wave equations with local Kelvin-Voigt damping: cases when the supports of damping and coupling coefficients are disjoint ⋮ Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms ⋮ Uniform stabilization of the Klein-Gordon system ⋮ On the lack of exponential stability for an elastic-viscoelastic waves interaction system ⋮ Eventual differentiability of coupled wave equations with local Kelvin-Voigt damping ⋮ Stabilization of the wave equations with localized Kelvin-Voigt type damping under optimal geometric conditions ⋮ A N-dimensional elastic\(\backslash\)viscoelastic transmission problem with Kelvin-Voigt damping and non smooth coefficient at the interface ⋮ Decay for the Kelvin–Voigt damped wave equation: Piecewise smooth damping ⋮ Stabilization for vibrating plate with singular structural damping ⋮ Stabilization of a coupled wave equation with one localized nonregular fractional Kelvin–Voigt damping with nonsmooth coefficients ⋮ Stability of an infinite star‐shaped network of strings by a Kelvin–Voigt damping ⋮ Stabilization for Wave Equation with Localized Kelvin–Voigt Damping on Cuboidal Domain: A Degenerate Case ⋮ Control of a flexible satellite with an internal nonlinear disturbance ⋮ Sharp stability of a string with local degenerate Kelvin–Voigt damping ⋮ Global stability dynamics of the quasilinear damped Klein-Gordon equation with variable coefficients ⋮ Stability of the wave equation with localized Kelvin–Voigt damping and dynamic Wentzell boundary conditions with delay ⋮ Longtime behavior of multidimensional wave equation with local Kelvin–Voigt damping ⋮ On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback ⋮ Eventual differentiability of a string with local Kelvin–Voigt damping ⋮ Stability for Euler-Bernoulli beam equation with a local degenerated Kelvin-Voigt damping ⋮ Exponential stability for the nonlinear Schrödinger equation with locally distributed damping ⋮ A constructive method for the stabilization of the wave equation with localized Kelvin-Voigt damping ⋮ Decays for Kelvin--Voigt Damped Wave Equations I: The Black Box Perturbative Method ⋮ Stability to localized viscoelastic transmission problem ⋮ Stability for coupled waves with locally disturbed Kelvin-Voigt damping ⋮ Stability of a Timoshenko system with localized Kelvin-Voigt dissipation ⋮ Stability of elastic transmission systems with a local Kelvin-Voigt damping ⋮ Boundary-to-Displacement asymptotic gains for wave systems with Kelvin–Voigt damping ⋮ Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping ⋮ Unnamed Item ⋮ Stability results of an elastic/viscoelastic transmission problem of locally coupled waves with non smooth coefficients ⋮ Stability of a star-shaped network with local Kelvin-Voigt damping and non-smooth coefficient at interface ⋮ Stabilization of transmission system of Kirchhoff plate and wave equations with a localized Kelvin-Voigt damping ⋮ Stabilization of the wave equation with a localized nonlinear strong damping ⋮ Stabilization for the wave equation with singular Kelvin-Voigt damping ⋮ Stability of N-D transmission problem in viscoelasticity with localized Kelvin-Voigt damping under different types of geometric conditions ⋮ Stabilization of Wave Equation on Cuboidal Domain via Kelvin--Voigt Damping: A Case without Geometric Control Condition ⋮ Gevrey Class of Locally Dissipative Euler--Bernoulli Beam Equation ⋮ Sharp Decay Estimates for Semigroups Associated with Some One-Dimensional Fluid-Structure Interactions Involving Degeneracy ⋮ Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay
This page was built for publication: Exponential stability for the wave equations with local Kelvin-Voigt damping