The longtime behavior of a nonlinear Reissner-Mindlin plate with exponentially decreasing memory kernels

DOI10.1016/J.JMAA.2006.03.024zbMath1111.74019OpenAlexW1967561396MaRDI QIDQ865296

N. E. Zubov

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.024

zbMATH Keywords

linear viscoelasticitynonlinear semigroupenergy decay

Mathematics Subject Classification ID

Plates (74K20) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (6)

Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources ⋮ Long-time behavior for a class of semi-linear Viscoelastic Kirchhoff beams/plates ⋮ Decay of solution for a 2D irrotational Mindlin-Timoshenko plate system ⋮ Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations ⋮ Decay estimate and global existence of a semilinear Mindlin-Timoshenko plate system with full frictional damping in the whole space ⋮ Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate

Cites Work

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• Asymptotic stability in viscoelasticity
• Existence Theorems in Linear and Semi-Linear Elasticity
• Asymptotic Behavior of a Mindlin-Timoshenko Plate with Viscoelastic Dissipation on the Boundary
• On the Theory of Bending of Elastic Plates
• Global attractors for a semilinear hyperbolic equation in viscoelasticity

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