Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Kármán shallow shell system

DOI10.1016/j.jde.2010.05.005zbMath1425.74299OpenAlexW2022430438MaRDI QIDQ994291

Fu Shan Li

Publication date: 17 September 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.005

zbMATH Keywords

shallow shellplateviscoelastic

Mathematics Subject Classification ID

Shells (74K25) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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Cites Work

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• Compact sets in the space \(L^ p(0,T;B)\)
• A justification of the Marguerre-von Kármán equations
• Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
• Uniform decay of weak solutions to a von Kármán plate with nonlinear boundary dissipation
• Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback
• On the Cauchy problem for the full von Kármán system
• Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
• Convergence of the solution to general viscoelastic Koiter shell equations
• Uniform decay rates for nonlinear viscoelastic Marguerre-von Kármán equations
• Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary
• On the Dirichlet problem for the Marguerre equations
• Weak, classical and intermediate solutions to full von karman system of dynamic nonlinear elasticity
• Local exponential stabilization for a nonlinearly perturbed von Kármán plate
• Uniform Stabilizability of a Full Von Karman System with Nonlinear Boundary Feedback
• Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation
• Decay rates of solutions to a von Kármán system for viscoelastic plates with memory
• Boundary Stabilization for the von Kármán Equations
• Marguerre-Von Kármán equations and membrane model

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