Global existence and new decay results of a viscoelastic wave equation with variable exponent and logarithmic nonlinearities

DOI10.3934/MATH.2021587OpenAlexW3181694520MaRDI QIDQ2671059

Mohammad M. Al-Gharabli, Adel M. Al-Mahdi, Mohammad M. Kafini

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021587

zbMATH Keywords

viscoelasticityrelaxation functiongeneral decayvariable exponentlogarithmic nonlinearity

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55)

Related Items (6)

Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity ⋮ Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics ⋮ Timoshenko beams with variable‐exponent nonlinearity ⋮ Theoretical and numerical decay results of a viscoelastic suspension bridge with variable exponents nonlinearity ⋮ An effect of decay rates: supercritical damping and a viscoelastic term ⋮ Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics

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