Uniform decay of solutions for von Karman equations of dynamic viscoelasticity with memory

DOI10.1007/s10440-009-9520-7zbMath1197.35056OpenAlexW2052913944MaRDI QIDQ970526

Jong Yeoul Park, Jum-Ran Kang

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9520-7

zbMATH Keywords

nonlinear integro-differential equationsnonlinear boundary conditionsexponential decayGalerkin approximationgeometric nonlinearitiesboundary dissipationvon Karman system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence of solutions of dynamical problems in solid mechanics (74H20) Integro-partial differential equations (35R09)

Related Items

Asymptotic behavior to a von Kármán equations of memory type with acoustic boundary conditions ⋮ Numerical approximation of von Kármán viscoelastic plates ⋮ Exponential decay for a von Kármán equations of memory type with acoustic boundary conditions ⋮ Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons ⋮ Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity

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