Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates

DOI10.1051/m2an:2002029zbMath1073.35040OpenAlexW2151762877MaRDI QIDQ4423079

Gustavo Perla Menzala, Ademir Fernando Pazoto, Enrique Zuazua

Publication date: 25 August 2003

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_4_657_0

zbMATH Keywords

singular limituniform stabilization

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (11)

On a one-dimensional version of the dynamical Marguerre-Vlasov system ⋮ Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system ⋮ Asymptotic limits and stabilization for the 2D nonlinear Mindlin-Timoshenko system ⋮ Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation ⋮ Exponential stability of the von Kármán system with internal damping ⋮ Singular limits and dynamics for the abstract Timoshenko system ⋮ Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay ⋮ Global attractor for a model of extensible beam with nonlinear damping and source terms ⋮ Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay ⋮ Local exact controllability for Berger plate equation ⋮ Boundary feedback stabilization of a novel bilinear and extensible piezoelectric beam model

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