On a Kelvin--Voigt Viscoelastic Wave Equation with Strong Delay

DOI10.1137/18M1219308zbMath1427.35271arXiv1810.02931OpenAlexW2984525165MaRDI QIDQ5243247

Michael Pokojovy, Andrii Anikushyn, Hanna Demchenko

Publication date: 18 November 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02931

zbMATH Keywords

wave equationexponential stabilitywell-posednesssingular limitKelvin-Voigt dampingtime-localized delay

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74) Linear difference equations (39A06) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (6)

Modal approximation for time-domain elastic scattering from metamaterial quasiparticles ⋮ Global well-posedness and exponential stability for Maxwell's equations under delayed boundary condition in metamaterials ⋮ Global well-posedness and stability results for an abstract viscoelastic equation with a non-constant delay term and nonlinear weight ⋮ Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay ⋮ Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback ⋮ Stability results for an elastic–viscoelastic wave equation with localized Kelvin–Voigt damping and with an internal or boundary time delay

Uses Software

• COMSOL

Cites Work

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