Modeling suspension bridges through the von Kármán quasilinear plate equations

DOI10.1007/978-3-319-19902-3_18zbMath1333.35060arXiv1410.7983OpenAlexW2250024226MaRDI QIDQ5743927

Yongda Wang, Gazzola, Filippo

Publication date: 9 February 2016

Published in: Contributions to Nonlinear Elliptic Equations and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7983

zbMATH Keywords

suspension bridgesvon Kármán equationsnonlinear plates

Mathematics Subject Classification ID

Plates (74K20) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for higher-order elliptic systems (35J58)

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Existence and general decay estimate for a nonlinear plate problem ⋮ Finite dimensional global attractor for a suspension bridge problem with delay ⋮ Instability of modes in a partially hinged rectangular plate ⋮ Decay result for a delay viscoelastic plate equation ⋮ General decay estimate for coupled plate problem with memory ⋮ Loss of energy concentration in nonlinear evolution beam equations ⋮ The global attractor for a suspension bridge with memory and partially hinged boundary conditions ⋮ Blow up result for a viscoelatic plate equation with nonlinear source ⋮ An evolution von Kármán equation modeling suspension bridges ⋮ Asymptotic behaviour of a suspension bridge problem ⋮ Long-time behavior of partially damped systems modeling degenerate plates with piers ⋮ Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback ⋮ Stability result of a suspension bridge problem with time-varying delay and time-varying weight ⋮ General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient ⋮ Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation ⋮ A virtual element method for the von Kármán equations

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