Asymptotic behavior for a weak viscoelastic wave equations with a dynamic boundary and time varying delay term

DOI10.1007/s12190-015-0917-3zbMath1338.35287OpenAlexW2157722259MaRDI QIDQ295490

Mohamed Ferhat, Ali Hakem

Publication date: 13 June 2016

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

Full work available at URL: https://doi.org/10.1007/s12190-015-0917-3

zbMATH Keywords

asymptotic behaviorsource termKelvin Voigt damping

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) First-order nonlinear hyperbolic equations (35L60) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (10)

General decay and blow up of solutions for the Kirchhoff plate equation with dynamic boundary conditions, delay and source terms ⋮ Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms ⋮ Blow-up of solution for a viscoelastic wave equation with delay ⋮ Measure functional differential equations with infinite time‐dependent delay ⋮ Elastic membrane equation with dynamic boundary conditions and infinite memory ⋮ Energy decay rate for a von Karman system with a boundary nonlinear delay term ⋮ Decay of an extensible viscoelastic plate equation with a nonlinear time delay ⋮ General decay rates for a viscoelastic wave equation with dynamic boundary conditions and past history ⋮ A general decay estimate for the nonlinear transmission problem of weak viscoelastic equations with time-varying delay ⋮ A qualitative study and numerical simulations for a time-delayed dispersive equation

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