On the lack of exponential stability for an elastic-viscoelastic waves interaction system

DOI10.1016/j.nonrwa.2017.02.019zbMath1375.35037OpenAlexW2599295062MaRDI QIDQ2406523

Qiong Zhang

Publication date: 4 October 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.02.019

zbMATH Keywords

Gaussian beamslack of uniform decayconstruction of ray-like solutionsgeometric optics expansions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35)

Related Items (9)

Polynomial stability of an abstract system with local damping ⋮ Stabilization of the wave equations with localized Kelvin-Voigt type damping under optimal geometric conditions ⋮ Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping ⋮ Sharp stability of a string with local degenerate Kelvin–Voigt damping ⋮ Longtime behavior of multidimensional wave equation with local Kelvin–Voigt damping ⋮ Polynomial decay of an elastic/viscoelastic waves interaction system ⋮ Stabilization of transmission system of Kirchhoff plate and wave equations with a localized Kelvin-Voigt damping ⋮ Stability of N-D transmission problem in viscoelasticity with localized Kelvin-Voigt damping under different types of geometric conditions ⋮ Logarithmic stabilization of the Kirchhoff plate transmission system with locally distributed Kelvin-Voigt damping.

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