A general decay result of a nonlinear system of wave equations with infinite memories

DOI10.1016/J.AMC.2015.02.085zbMath1390.35184OpenAlexW1993426340MaRDI QIDQ1636876

Mohammad M. Al-Gharabli, Messaoudi A. Salim

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.085

zbMATH Keywords

wave equationnonlinearviscoelasticitygeneral decayinfinite memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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New general decay result for a system of viscoelastic wave equations with past history ⋮ General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients ⋮ On the control of a nonlinear system of viscoelastic equations ⋮ Well-posedness and general decay of a nonlinear damping porous-elastic system with infinite memory ⋮ New stability result for a thermoelastic Bresse system with two infinite memories ⋮ General stability result for a porous thermoelastic system with infinite history and microtemperatures effects ⋮ Uniform general stability of a coupled Volterra integro-differential equations with fading memories ⋮ Unnamed Item ⋮ General decay for a viscoelastic wave equation with density and time delay term in \(\mathbb{R}^n\) ⋮ Unnamed Item ⋮ Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations ⋮ DECAY RATES FOR A COUPLED VISCOELASTIC LAMÉ SYSTEM WITH STRONG DAMPING

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