Plate models with state-dependent damping coefficient and their quasi-static limits

DOI10.1016/j.na.2010.04.072zbMath1372.74055OpenAlexW2010338321MaRDI QIDQ988810

Stanislav Kolbasin, Igor D. Chueshov

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.072

zbMATH Keywords

global attractordimensionupper semicontinuityquasi-static limitnonlinear plate modelsstate-dependent damping

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Plates (74K20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Attractors for a plate equation with nonlocal nonlinearities ⋮ Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping ⋮ Convergence of solutions of von Karman evolution equations to equilibria ⋮ Long-time dynamics of Kirchhoff wave models with strong nonlinear damping ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type ⋮ Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations

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