Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity

DOI10.1186/s13661-022-01674-2zbMath1523.45006arXiv2206.12561OpenAlexW4310184722MaRDI QIDQ6099721

Bhargav Kumar Kakumani, Unnamed Author

Publication date: 20 June 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.12561

zbMATH Keywords

local existenceconvexityviscoelasticitydecay estimatelogarithmic nonlinearity

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Integro-partial differential equations (45K05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (max. 100)

Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity ⋮ Asymptotic stability for solutions of a coupled system of quasi-linear viscoelastic Kirchhoff plate equations

Cites Work

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